download скачать Free download скачать : Udemy Calculus 1 part 2 of 2 Derivatives with applications
mp4 | Video: h264,1280X720 | Audio: AAC, 44.1 KHz
Genre:eLearning | Language: English | Size:46.07 GB

Files Included :

1  Introduction to the course.mp4 (150.55 MB)
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2  Good news first.mp4 (67.67 MB)
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3  Rates of change, slopes, and tangent lines.mp4 (119.55 MB)
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4  Derivative at a point and derivative as a function that shows variable slopes.mp4 (111.82 MB)
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5  Why derivatives are important.mp4 (141.58 MB)
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6  Differential equations find all the functions that change in a certain way.mp4 (115.2 MB)
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7  Elementary functions and their derivatives more and less intuitive rules.mp4 (98.24 MB)
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8  Advanced topics in the Precalculus series.mp4 (101.97 MB)
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1  Why we want to approximate functions with polynomials.mp4 (31.05 MB)
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10  Limit, an example.mp4 (350.85 MB)
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11  Order relation on the classes of functions introduced in V192.mp4 (138.29 MB)
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2  Monic monomials closely to zero.mp4 (117.83 MB)
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3  Remember higher-order derivatives Smooth and less smooth functions.mp4 (79.65 MB)
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4  How to construct a polynomial that has the same derivatives at some point as f.mp4 (605.38 MB)
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5  Maclaurin polynomial for the exponential function.mp4 (242.7 MB)
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6  Maclaurin polynomial for the sine.mp4 (351.84 MB)
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7  Maclaurin polynomial for cosine.mp4 (267.23 MB)
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8  Taylor polynomial and the Second (and more!) Derivative Test.mp4 (113.6 MB)
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9  Approximation, an example.mp4 (249.78 MB)
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1  Explicit versus implicit, Example 0.mp4 (99.97 MB)
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2  Implicit differentiation and how it works.mp4 (49.94 MB)
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3  One more example easy to handle both ways, Example 1.mp4 (494.76 MB)
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4  Derivative of the logarithm, method 3.mp4 (110.17 MB)
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5  The derivative of roots (power functions 2), method 3.mp4 (90.43 MB)
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6  Derivative of arctangent, method 3.mp4 (134.66 MB)
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7  Derivative of arcsine, method 3.mp4 (116.25 MB)
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8  The one with a heart.mp4 (408.12 MB)
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9  Plenty of problems to solve; we walk through two of them.mp4 (96.55 MB)
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1  Logarithmic differentiation, Problem 1.mp4 (186.64 MB)
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2  Logarithmic differentiation, Problem 2.mp4 (145.13 MB)
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3  Logarithmic differentiation, Problem 3.mp4 (63.28 MB)
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4  Logarithmic differentiation, Problem 4.mp4 (109.56 MB)
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5  Logarithmic differentiation, Problem 5.mp4 (94.92 MB)
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1  Functions of several variables.mp4 (54.68 MB)
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2  Partial derivatives, Exercise 1.mp4 (200.04 MB)
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3  Higher-order partial derivatives, Exercise 2.mp4 (175.53 MB)
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1  Reverting differentiation.mp4 (51.26 MB)
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2  A word about main integration techniques.mp4 (44.46 MB)
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3  It is more useful than you think.mp4 (36.8 MB)
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1  Various types of equations.mp4 (65.64 MB)
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2  Differential equations mentioned in Precalculus 4.mp4 (60.73 MB)
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3  Solving versus verifying solutions to ODE.mp4 (187.2 MB)
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1  Plenty of derivative-like creatures.mp4 (48.82 MB)
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2  Multivariate Taylor polynomials.mp4 (118.81 MB)
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3  Mean Value Theorem used for functions of several variables.mp4 (106.14 MB)
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1  Optimisation a practical section.mp4 (71.32 MB)
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2  Optimisation, Problem 1.mp4 (259.12 MB)
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3  Optimisation, Problem 2.mp4 (198.95 MB)
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4  Optimisation, Problem 3.mp4 (188.52 MB)
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5  Optimisation, Problem 4.mp4 (357.29 MB)
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6  Optimisation, Problem 5.mp4 (613.51 MB)
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7  Optimisation, Problem 6.mp4 (480.61 MB)
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8  Proving inequalities, Problem 7.mp4 (109.58 MB)
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9  Proving inequalities, Problem 8.mp4 (158.16 MB)
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1  How to make a table of (sign) variations.mp4 (84.69 MB)
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10  Wrap-up Calculus 1.mp4 (72.65 MB)
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2  A brief repetition about asymptotes.mp4 (122.87 MB)
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3  Plotting functions, Problem 1.mp4 (437.37 MB)
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4  Plotting functions, Problem 2.mp4 (456.38 MB)
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5  Plotting functions, Problem 3.mp4 (661.82 MB)
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6  Plotting functions, Problem 4.mp4 (603.84 MB)
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7  Plotting functions, Problem 5.mp4 (585.06 MB)
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8  Plotting functions, Problem 6.mp4 (393.8 MB)
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9  Plotting functions, Problem 7.mp4 (810.18 MB)
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1  Bonus Lecture.mp4 (39.41 MB)
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1  Terminology and notation.mp4 (120.6 MB)
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10  Derivative of the square root function, Exercise 5.mp4 (249.7 MB)
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11  Another (equivalent) way of defining derivatives, Exercise 6.mp4 (181.81 MB)
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12  A function that is not differentiable at some point, Exercise 7.mp4 (72.55 MB)
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13  Absolute values and cusps a generalisation of Exercise 7.mp4 (123.43 MB)
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14  Yet another way of defining differentiability at a point.mp4 (308.68 MB)
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15  Each differentiable function is continuous, but is the converse true.mp4 (177.31 MB)
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16  Optional Proof of the part C1 from the theorem in Video 21.mp4 (265.13 MB)
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17  Optional Proof of the part C2 1 from the theorem in Video 21.mp4 (334.74 MB)
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18  Is the absolute value always a bad news for global differentiability Problem 1.mp4 (297.39 MB)
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19  Derivatives of piecewise functions, Problem 2.mp4 (150.11 MB)
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2  Where to find Precalculus stuff for repetition straight lines, rates of change.mp4 (73.9 MB)
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20  Recognising derivatives, Problem 3.mp4 (136.27 MB)
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21  Recognising derivatives, Problem 4.mp4 (117.5 MB)
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22  Recognising derivatives, Problem 5.mp4 (22.21 MB)
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23  Computing derivatives from the definition, Problem 6.mp4 (131.2 MB)
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24  One of my favourite problems, Problem 7.mp4 (395.4 MB)
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25  Higher order derivatives, definition and notation.mp4 (67.06 MB)
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26  Geometric interpretation of differentials.mp4 (118.59 MB)
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27  What is linearization and why it is good for you.mp4 (144.43 MB)
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28  Linearization works locally, Problem 8.mp4 (169.42 MB)
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3  In what kind of points we are going to consider derivatives.mp4 (49.74 MB)
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4  Definition of the derivative at a point, differentiability of functions.mp4 (84.69 MB)
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5  How to find equations for tangent lines Two methods.mp4 (74.9 MB)
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6  Derivatives of linear functions, Exercise 1.mp4 (154.21 MB)
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7  Derivatives of quadratic functions, Exercise 2.mp4 (160.41 MB)
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8  Derivatives of quadratic functions, Exercise 3.mp4 (154.56 MB)
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9  Derivative of a cubic polynomial, Exercise 4.mp4 (261.53 MB)
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1  Our plan.mp4 (83.69 MB)
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10  The derivative of cosine inverse.mp4 (233.51 MB)
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11  The derivative of the exponential function.mp4 (39.01 MB)
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12  The derivative of the natural logarithm, method 1.mp4 (306.69 MB)
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13  The derivative of logarithms with any base.mp4 (167.65 MB)
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14  Rules of differentiation the main theorem.mp4 (425.14 MB)
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15  An illustration for the Sum Rule.mp4 (82.74 MB)
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16  Some illustrations for the Product Rule.mp4 (110.69 MB)
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17  Three ways of writing a proof of the Sum Rule.mp4 (80.18 MB)
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18  Three ways of writing a proof of the Scaling Rule.mp4 (73.46 MB)
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19  Linearity of the differential operator, and its consequences.mp4 (388.76 MB)
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2  The derivative of monic monomials (power functions 1), method 1.mp4 (276.07 MB)
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20  A proof of the Product Rule.mp4 (85.84 MB)
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21  Derivatives of polynomials are polynomials.mp4 (249.17 MB)
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22  A proof of the Quotient (and Reciprocal) Rule.mp4 (63.65 MB)
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23  The derivative of power functions 3, method 2.mp4 (143.34 MB)
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24  Derivatives of rational functions are rational functions.mp4 (127.48 MB)
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25  A generalization of the Product Rule.mp4 (225.43 MB)
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26  The derivative of tangent.mp4 (107.3 MB)
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27  The derivative of arctangent, method 1.mp4 (178.16 MB)
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28  Some practice in differentiation, Exercise 1.mp4 (79.95 MB)
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29  Some practice in differentiation, Exercise 2.mp4 (81.09 MB)
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3  The derivative of monic monomials (power functions 1), method 2.mp4 (49.34 MB)
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30  Some practice in differentiation, Exercise 3.mp4 (93.02 MB)
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31  Some practice in differentiation, Exercise 4.mp4 (143.97 MB)
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32  Some practice in differentiation, Exercise 5.mp4 (162.48 MB)
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33  Some practice in differentiation, Exercise 6.mp4 (53.56 MB)
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34  Some practice in differentiation, Exercise 7.mp4 (84.86 MB)
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35  Some practice in differentiation, Exercise 8.mp4 (122.38 MB)
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36  Some practice in differentiation, Exercise 9.mp4 (106.52 MB)
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37  Some practice in differentiation, Exercise 10.mp4 (235.85 MB)
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38  Differentiability of piecewise functions, Exercise 11.mp4 (122.37 MB)
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39  The derivative of the sine of a scaled argument.mp4 (231.31 MB)
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4  The derivative of roots (power functions 2), method 1.mp4 (306.34 MB)
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40  Differentiability of piecewise functions, Exercise 12.mp4 (392.36 MB)
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41  Multiple zeros of polynomials and the round shapes of the graphs.mp4 (286.67 MB)
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42  A really cool problem about polynomials, Problem 1.mp4 (172.43 MB)
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43  The one with a picture, Problem 2.mp4 (378.56 MB)
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44  Finding the tangent line, Problem 3.mp4 (432.12 MB)
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45  Where to find more exercises for practice; some hints and tricks.mp4 (261.98 MB)
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5  The derivative of power functions 3, method 1.mp4 (343.83 MB)
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6  The derivative of sine, method 1.mp4 (210.16 MB)
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7  The derivative of cosine, method 1.mp4 (118.24 MB)
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8  The derivative of sine and cosine, method 2.mp4 (66.2 MB)
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9  The derivative of sine inverse, method 1.mp4 (305.71 MB)
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1  About this section; some reading recommendations.mp4 (41.58 MB)
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10  Some useful formulas from Precalculus 4.mp4 (32.43 MB)
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11  The derivative of power functions 5.mp4 (165.11 MB)
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12  The derivative of exponential functions.mp4 (82.33 MB)
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13  Neither exponential nor power functions.mp4 (53.32 MB)
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14  Back to some details from Videos 48 and 77.mp4 (51.31 MB)
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15  The Chain Rule, an example.mp4 (73.15 MB)
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16  How to handle differentiation in easy and complicated cases.mp4 (457.26 MB)
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17  Some practice in differentiation (ChR), Exercise 1.mp4 (245.06 MB)
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18  Some practice in differentiation (ChR), Exercise 2.mp4 (160.81 MB)
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19  Some practice in differentiation (ChR), Exercise 3.mp4 (195.79 MB)
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2  Repetition from Precalculus 1 compositions of functions.mp4 (56.74 MB)
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20  Some practice in differentiation (ChR), Exercise 4.mp4 (245.35 MB)
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21  Some practice in differentiation (ChR), Exercise 5.mp4 (201.73 MB)
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22  Some practice in differentiation (ChR), Exercise 6.mp4 (169.92 MB)
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23  Some practice in differentiation (ChR), Exercise 7.mp4 (221.8 MB)
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24  Some practice in differentiation (ChR), Exercise 8.mp4 (216.64 MB)
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25  Some practice in differentiation (ChR), Exercise 9.mp4 (198.6 MB)
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26  Some practice in differentiation (ChR), Exercise 10.mp4 (429.74 MB)
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27  Derivatives of hyperbolic functions, Exercise 11.mp4 (206.63 MB)
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28  Derivatives of inverse hyperbolic functions, Exercise 12.mp4 (109.81 MB)
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29  Related rates and The Chain Rule.mp4 (53.35 MB)
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3  Transformations of graphs that involve scalings of the argument.mp4 (115.07 MB)
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30  Related Rates, Problem 1.mp4 (195.47 MB)
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31  Related Rates, Problem 2.mp4 (186.86 MB)
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32  Related Rates, Problem 3.mp4 (145.49 MB)
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33  Related Rates, Problem 4.mp4 (258.73 MB)
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34  Related Rates, Problem 5.mp4 (125.97 MB)
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35  More practice in the article and in the book.mp4 (79.33 MB)
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4  The Chain Rule the theorem, an example, and a proof.mp4 (226.26 MB)
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5  A generalization of The Chain Rule and some related topics.mp4 (230.85 MB)
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6  Back to Video 87 in Precalculus 1.mp4 (421.63 MB)
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7  Back to Video 88 from Pre1 the order of functions in a composition is important.mp4 (167.37 MB)
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8  The derivative of power functions 3, method 3.mp4 (153.98 MB)
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9  The derivative of power functions 4.mp4 (152.8 MB)
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1  Derivative of functions inverse to differentiable functions, an intuition.mp4 (117.1 MB)
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10  Optional A theoretical statement about tangent lines.mp4 (259.59 MB)
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11  The derivative of an inverse, Problem 1.mp4 (780.71 MB)
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12  The derivative of an inverse, Problem 2.mp4 (221.16 MB)
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13  The derivative of an inverse, Problem 3.mp4 (322 MB)
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2  Derivative of functions inverse to differentiable functions, the theorem.mp4 (92.92 MB)
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3  Derivative of functions inverse to differentiable functions, Example 1.mp4 (410.53 MB)
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4  The derivative of an inverse, Example 2.mp4 (109.32 MB)
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5  The derivative of roots (power functions 2), method 2.mp4 (225.77 MB)
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6  The derivative of the natural logarithm, method 2.mp4 (87.61 MB)
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7  The derivative of sine inverse, method 2.mp4 (208.93 MB)
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8  The derivative of arctangent, method 2.mp4 (105.99 MB)
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9  Optional Intercept equations of straight line.mp4 (398.96 MB)
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1  Lots of theory that can be illustrated in a very intuitive way.mp4 (69.67 MB)
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10  Rolle's Theorem, Example 2.mp4 (271.08 MB)
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11  The Mean Value Theorem (Lagrange).mp4 (105.39 MB)
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12  Lagrange's Theorem, Example 1.mp4 (299.38 MB)
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13  Lagrange's Theorem, Example 2.mp4 (205.92 MB)
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14  Lagrange's Theorem, Example 3.mp4 (569.71 MB)
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15  Extended Mean Value Theorem (Cauchy).mp4 (73.16 MB)
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16  Darboux property for derivatives.mp4 (88.78 MB)
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17  Darboux property for derivatives, some examples.mp4 (255.25 MB)
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18  About monotonicity of differentiable functions.mp4 (82.95 MB)
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19  About monotonicity of differentiable functions, some examples.mp4 (89.67 MB)
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2  The concepts of maximum and minimum are not reserved for continuous functions.mp4 (115.65 MB)
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20  Monotonicity of exponential functions.mp4 (78.42 MB)
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21  Back to the derivatives of inverse functions, Problem 4.mp4 (421.62 MB)
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22  Functions with derivative equal to zero.mp4 (48.42 MB)
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23  Corollary about functions that have the same derivative on an interval.mp4 (79.73 MB)
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24  Back to Video 106 explaining some subtleties in the Corollary in V152.mp4 (314.35 MB)
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25  Back to Video 107 explaining some subtleties in the Corollary in V152.mp4 (134 MB)
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26  Optional Back to Video 107; a trigonometry-based solution.mp4 (332.02 MB)
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3  The concept of monotonicity is not reserved for continuous functions.mp4 (148.62 MB)
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4  Lemma about positive and negative derivatives.mp4 (135.52 MB)
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5  Absolute values and cusps proof of part C2 2 from V21.mp4 (331.57 MB)
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6  Fermat's Theorem Necessary condition for extremums at interior points.mp4 (116.65 MB)
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7  Critical (stationary) points and singular points; plateaus.mp4 (74.57 MB)
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8  Rolle's Theorem About existence of a stationary point.mp4 (38.99 MB)
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9  Rolle's Theorem, Example 1.mp4 (293.73 MB)
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1  You know everything you need to know about monotonicity and optimisation.mp4 (103.63 MB)
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10  The Second Derivative Test.mp4 (351.26 MB)
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11  Comparison between two tests advantages and disadvantages.mp4 (106.65 MB)
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12  Optimisation of continuous functions on compact and non-compact domains.mp4 (63.71 MB)
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13  Optimisation, Problem 1.mp4 (441.82 MB)
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14  Optimisation, Problem 2.mp4 (177.74 MB)
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15  Optimisation, Problem 3.mp4 (538.14 MB)
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16  Optimisation, Problem 4.mp4 (216.69 MB)
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17  Optimisation, Problem 5.mp4 (340.78 MB)
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18  Comparing numbers, Problem 6.mp4 (51.52 MB)
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19  Comparing numbers, Problem 7.mp4 (286.47 MB)
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2  Polynomials some examples from Precalculus 2 revisited.mp4 (92.71 MB)
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3  How to find the vertex of a parabola if you hate completing the square.mp4 (324.27 MB)
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4  A rational function, Problem 1 from V220 in Calc1p1.mp4 (235.96 MB)
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5  The one with two square roots, Problem 2 from V221 in Calc1p1.mp4 (427.01 MB)
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6  The one with arctangent, Problem 3 from V222 in Calc1p1.mp4 (125.26 MB)
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7  Where the derivative doesn't help much, Problem 4 from V223 in Calc1p1.mp4 (64.9 MB)
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8  The one with a one-sided vertical asymptote, Problem 5 from V224 in Calc1p1.mp4 (25.61 MB)
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9  The First Derivative Test.mp4 (162.59 MB)
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1  Convexity, concavity, inflection points.mp4 (173.17 MB)
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2  Convexity, concavity, inflection points many examples.mp4 (178.47 MB)
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3  Convexity, Problem 1.mp4 (164.32 MB)
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4  Convexity, Problem 2.mp4 (191.39 MB)
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5  Convexity, Problem 3.mp4 (178.71 MB)
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1  l'Hôpital's rule, the theorem with a proof (in an article).mp4 (101.8 MB)
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10  l'Hôpital's rule, Exercise 9.mp4 (138.62 MB)
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2  l'Hôpital's rule, Exercise 1.mp4 (270.39 MB)
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3  l'Hôpital's rule, Exercise 2.mp4 (102.58 MB)
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4  l'Hôpital's rule, Exercise 3.mp4 (128.36 MB)
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5  l'Hôpital's rule, Exercise 4.mp4 (186.7 MB)
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6  l'Hôpital's rule, Exercise 5.mp4 (213.89 MB)
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7  l'Hôpital's rule, Exercise 6.mp4 (129.46 MB)
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8  l'Hôpital's rule, Exercise 7.mp4 (101.69 MB)
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9  l'Hôpital's rule, Exercise 8.mp4 (140.12 MB)
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