Calculus with Dr. Bob III: Log, Exponential and Inverse Trig Functions

Course Description

In this third installment, Dr. Bob resumes his Calculus series by solving derivatives and definite integrals of special functions: Derivative of ln(x), Integration with ln(x), Inverse functions, Derivative and integral with e^x, Other Bases, Derivatives of Inverse Trig, Integrals of Inverse Trig.

Calculus with Dr. Bob III: Log, Exponential and Inverse Trig Functions
Dr. Bob in Lesson #1: Definition of ln(x) Using Integration
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Video Lectures & Study Materials

# Lecture Play Lecture
1 Definition of ln(x) Using Integration Play Video
2 Properties of ln(x) Using Integration Play Video
3 End Behavior of ln(x) Play Video
4 Derivative of ln(x) as a Slope Play Video
5 The Chain Rule for ln(x) and ln|x| Play Video
6 Derivative of f(x) = ln(ln(x^2 + 1)) Play Video
7 Graph of f(x) = 3ln(x-2) + 4 Play Video
8 Graph of f(x) = ln(x^2 - x) Play Video
9 Graph of f(x) = ln|x^2-x| Play Video
10 Implicit Differentiation with ln(x) Play Video
11 Logarithmic Differentiation Play Video
12 Antiderivative of ln(x^4)/x Play Video
13 Antiderivative involving 1/x 1 Play Video
14 Antiderivative involving 1/x 2 Play Video
15 Trig Antiderivatives involving 1/x Play Video
16 Area under f(x) = ln(x)/x Play Video
17 Inverse Functions Play Video
18 Inverse Functions: ln(x) and exp(x) Play Video
19 Graph of f(x) = 2 - e^{2x-1} Play Video
20 Inverse Function for f(x) = 2 e^{x-2} Play Video
21 No Inverse Function for f(x)=ln(x)-exp(x) Play Video
22 Derivative of an Inverse Function Play Video
23 Properties of Derivative of exp(x) Play Video
24 Derivatives with e^x Play Video
25 Tangent Line to x^2 e^x at x=1 Play Video
26 Graph of f(x) = x^2 e^{-x} Play Video
27 Graph of Normal Distribution Play Video
28 Implicit Differentiation with e^x Play Video
29 Indefinite Integrals with e^x Play Video
30 Definite Integral of exp(-3x+2) (HD Version) Play Video
31 Definite Integral of (e^x - 1)(e^x - 2)/e^2x (HD Version) Play Video
32 Graphing with 2^x Play Video
33 Equations with Logarithms Play Video
34 Derivatives of log_b(x) and b^x Play Video
35 Tangent Lines to log_b(x) and b^x Play Video
36 Logarithmic Differentiation Play Video
37 Indefinite Integrals with b^x and log_b(x) Play Video
38 Definite Integrals with b^x and log_b(x) Play Video
39 Compound Interest Play Video
40 Evaluating Inverse Trig Functions 1 Play Video
41 Evaluating Inverse Trig Expressions 2 Play Video
42 Evaluating Inverse Trig Expressions 3 Play Video
43 Derivatives of Inverse Trig Functions Play Video
44 Graph of f(x) = tan^{-1}(1-x^2) Play Video
45 Tangent Line to f(x) = xsin^{-1}(x/2) Play Video
46 Integrals with Inverse Trig Functions 1 Play Video
47 Integrals with Inverse Trig Functions 2 Play Video
48 Integrals with Inverse Trig Functions 3 Play Video

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