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24

Natural Logarithmic Function—Differentiation

Lecture no. 24 from the course: Understanding Calculus: Problems, Solutions and Tips

Natural Logarithmic Function—Differentiation

Taught by Professor Bruce H. Edwards | 31 min | Categories: The Great Courses Plus Online Mathematics Courses

Review the properties of logarithms in base 10. Then see how the so-called natural base for logarithms, e, has important uses in calculus and is one of the most significant numbers in mathematics. Learn how such natural logarithms help to simplify derivative calculations.

36 Lectures

1
Image of A Preview of Calculus
A Preview of Calculus
0 of 33 min
2
Image of Review—Graphs, Models, and Functions
Review—Graphs, Models, and Functions
0 of 30 min
3
Image of Review—Functions and Trigonometry
Review—Functions and Trigonometry
0 of 30 min
4
Image of Finding Limits
Finding Limits
0 of 30 min
5
Image of An Introduction to Continuity
An Introduction to Continuity
0 of 30 min
6
Image of Infinite Limits and Limits at Infinity
Infinite Limits and Limits at Infinity
0 of 30 min
7
Image of The Derivative and the Tangent Line Problem
The Derivative and the Tangent Line Problem
0 of 30 min
8
Image of Basic Differentiation Rules
Basic Differentiation Rules
0 of 30 min
9
Image of Product and Quotient Rules
Product and Quotient Rules
0 of 30 min
10
Image of The Chain Rule
The Chain Rule
0 of 30 min
11
Image of Implicit Differentiation and Related Rates
Implicit Differentiation and Related Rates
0 of 31 min
12
Image of Extrema on an Interval
Extrema on an Interval
0 of 30 min
13
Image of Increasing and Decreasing Functions
Increasing and Decreasing Functions
0 of 30 min
14
Image of Concavity and Points of Inflection
Concavity and Points of Inflection
0 of 30 min
15
Image of Curve Sketching and Linear Approximations
Curve Sketching and Linear Approximations
0 of 31 min
16
Image of Applications—Optimization Problems, Part 1
Applications—Optimization Problems, Part 1
0 of 30 min
17
Image of Applications—Optimization Problems, Part 2
Applications—Optimization Problems, Part 2
0 of 31 min
18
Image of Antiderivatives and Basic Integration Rules
Antiderivatives and Basic Integration Rules
0 of 31 min
19
Image of The Area Problem and the Definite Integral
The Area Problem and the Definite Integral
0 of 30 min
20
Image of The Fundamental Theorem of Calculus, Part 1
The Fundamental Theorem of Calculus, Part 1
0 of 29 min
21
Image of The Fundamental Theorem of Calculus, Part 2
The Fundamental Theorem of Calculus, Part 2
0 of 30 min
22
Image of Integration by Substitution
Integration by Substitution
0 of 31 min
23
Image of Numerical Integration
Numerical Integration
0 of 30 min
24
Image of Natural Logarithmic Function—Differentiation
Natural Logarithmic Function—Differentiation
0 of 31 min
25
Image of Natural Logarithmic Function—Integration
Natural Logarithmic Function—Integration
0 of 31 min
26
Image of Exponential Function
Exponential Function
0 of 31 min
27
Image of Bases other than e
Bases other than e
0 of 31 min
28
Image of Inverse Trigonometric Functions
Inverse Trigonometric Functions
0 of 31 min
29
Image of Area of a Region between 2 Curves
Area of a Region between 2 Curves
0 of 29 min
30
Image of Volume—The Disk Method
Volume—The Disk Method
0 of 30 min
31
Image of Volume—The Shell Method
Volume—The Shell Method
0 of 31 min
32
Image of Applications—Arc Length and Surface Area
Applications—Arc Length and Surface Area
0 of 31 min
33
Image of Basic Integration Rules
Basic Integration Rules
0 of 30 min
34
Image of Other Techniques of Integration
Other Techniques of Integration
0 of 31 min
35
Image of Differential Equations and Slope Fields
Differential Equations and Slope Fields
0 of 30 min
36
Image of Applications of Differential Equations
Applications of Differential Equations
0 of 31 min

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January 15, 2017

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