DERIVATIVES BASKI_1
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DERIVATIVES BASKI_1
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Entries
65
Introduction to Derivatives
Theory
Page 10
Tangents
Theory
Page 10
Velocities
Theory
Page 14
Rates of Change
Theory
Page 16
Derivative of a Function
Theory
Page 18
Left-Hand and Right-Hand Derivatives
Theory
Page 21
Differentiability and Continuity
Theory
Page 22
Linear Approximation
Other
Page 26
Exercises 1.1
Problem
Page 28
Techniques of Differentiation
Theory
Page 30
Basic Differentiation Rules
Theory
Page 30
The Product and the Quotient Rules
Theory
Page 36
The Chain Rule
Theory
Page 41
Higher Order Derivatives
Theory
Page 45
Linear Motion
Other
Page 48
Exercises 1.2
Problem
Page 50
Derivatives of Elementary Functions
Theory
Page 53
Derivatives of Exponential and Logarithmic Functions
Theory
Page 53
Exponential Functions
Theory
Page 53
Logarithmic Functions
Theory
Page 56
Logarithmic Differentiation
Theory
Page 58
Derivatives of Trigonometric Functions
Theory
Page 60
Derivatives of Special Functions
Theory
Page 64
Absolute Value Functions
Theory
Page 64
Sign Functions
Theory
Page 66
Floor Functions
Theory
Page 67
Implicit Differentiation
Theory
Page 69
Derivatives of Parametric Functions
Theory
Page 72
Derivatives of Inverse Trigonometric Functions
Theory
Page 75
Exercises 1.3
Problem
Page 77
Chapter Summary
Theory
Page 80
Concept Check
Test
Page 81
Chapter Review Test 1A
Test
Page 82
Chapter Review Test 1B
Test
Page 84
Chapter Review Test 1C
Test
Page 86
L’Hospital’s Rule
Theory
Page 90
The Indeterminate Form 0/0
Theory
Page 90
The Indeterminate Form ∞/∞
Theory
Page 93
Exercises 2.1
Problem
Page 95
Applications of the First Derivatives
Theory
Page 96
Intervals of Increase and Decrease
Theory
Page 96
Maximum and Minimum Values
Theory
Page 100
Absolute and Local Maximum and Minimum
Theory
Page 100
Finding the Local Extrema
Theory
Page 102
The First Derivative Test
Theory
Page 105
Finding the Absolute Extrema
Problem
Page 110
Exercises 2.2
Problem
Page 113
Applications of the Second Derivatives
Theory
Page 116
Concavity
Theory
Page 116
The Second Derivative Test
Theory
Page 122
Exercises 2.3
Problem
Page 124
Optimization Problems
Problem
Page 126
Refraction of Light
Other
Page 130
Exercises 2.4
Problem
Page 132
Plotting Graphs
Theory
Page 134
Asymptotes
Theory
Page 134
Curve Plotting
Theory
Page 137
Exercises 2.5
Problem
Page 145
Chapter Summary
Theory
Page 146
Concept Check
Test
Page 147
Chapter Review Test 2A
Test
Page 148
Chapter Review Test 2B
Test
Page 150
Chapter Review Test 2C
Test
Page 152
Answers
Answer
Page 154
Glossary
Other
Page 159
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