MATH 141 and 142 Chapter 7 videos

Section 7.1 Inverse Functions
and their derivatives

Worksheet

Section 7.2 Natural
Logarithms

Worksheet

Section 7.3 Transcendental Functions Lots of examples in 7.3 Worksheet

Section 7.4 Exponential change
and separable differential equations

Worksheet

Section 7.5 Indeterminate
forms and L'Hopital's Rule

Worksheet

Section
7.6 Derivatives of Inverse Trigonometric Functions

Worksheet

Section
7.7 Hyperbolic Functions and Their Derivatives

Worksheet

Section 7.8 Relative Rates of
Growth

Worksheet

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Questions asked by students

Product and Chain Rule 7-2-17 (14th edition)

Fundamental Theorem of Calculus 7-2-37 (14th edition)

U-Substitution 7-2-43 (14th edition)

Evaluating Integrals with Logarithms 7-2-47

Integrals with Logarithms 7-2-51

Natural Logarithms in Integrals 7-2-53

Derivative of e With an Exponent that Needs Chain Rule Several Times 7-3-21

Fundamental Theorem of Calculus 7-3-24

U-Substitution with e to the u Power Integral 7-3-43

A Constant to a Variable Power 7-3-57

Derivative of a Constant to a Variable Power7-3-57

Change of Base Derivative 7-3-69

Derivatives Using Change of Base 7-3-81

Splitting Up in to Two Integrals 7-3-85

Integrals of a to a Power 7-3-85

Integrating a Constant to a Variable 7-3-85

Integrals with Other Bases 7-3-87

Variable in Base and Exponent on an Integral 7-3-91

Integral of a Constant Base 7-3-105

Newton's Law of Cooling 7-4-39

Newton's Law of Cooling 7-4-44

L'Hopital's Rule Definitely a typo in the 13th Edition 7-5-1

L'Hopital's on Natural Logs 7-5-37

L'Hopital's in the Form of Subtraction of Two Terms 7-5-41

L'Hopital's Rule 14th edition 7-5-49

Variable in Base and Exponent 7-5-55

Find the Limit Using L'Hopital's Rule 7-5-58

Variable in Base and Exponent 7-5-85

Part B L'Hopital's Rule 7-5-89

Part C Derivative Set Equal to 0 7-5-89

Derivative on Inverse Trig Functions 7-6-23

Derivative of Inverse Secant 7-6-29

Derivative of Inverse Cotangent 7-6-31

Derivative on Inverse Trig Functions 7-6-33

Derivative of Inverse Sine 7-6-37

Derivative of Inverse Tangent and Inverse Secant 7-6-39

Integral of Inverse Tangent 7-6-45

Inverse Secant with Triangles 7-6-47

Integral of Inverse Secant 7-6-53

Integral of Inverse Tangent 7-6-61

Trig Substitution Completing the Square 7-6-71

Complex Tan Inverse Integral 7-6-89

Volume of a Solid (not the answer in course compass) 7-6-108

7-6-114 volume around the y-axis

Derivative of Inverse Hyperbolic Sine 7-7-25

Derivative of Inverse csch x 7-7-33

Derivative Hyperbolic sinh Inverse 7-7-35

Integral of Hyperbolic Tangent 7-7-45

7-7-59 hyperbolic coshine with more details