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Topics by section in this volume (the second of four Parts):
1 − Derivative of the Secant and Cosecant Functions
2 − Derivative of the Tangent and Cotangent Functions
3− Derivatives of Composite Functions
4 − The Chain Rule
5 − Applications Using the Chain Rule
6 − Explicit and Implicit Equations
7 − Implicit Differentiation
8 − Using Implicit Differentiation
9 − Related Rates
10 − More Practice with Related Rates I
11 − More Practice with Related Rates II
12 − Slopes on Parametric Curves
13 − Tangent and Normal Lines on Parametric Curves
14 − More Applications of Implicit Differentiation
15 − Rational Exponents of Differentiable Functions
16 − Inverse Functions
17 − Differentiating Inverse Functions
18 − The Derivative of the Inverse Sine and Inverse Cosine
19 − The Derivative of the Inverse Tangent and Inverse Cotangent
20 − The Derivative of the Inverse Secant and Inverse Cosecant
21 − The Derivative of the Exponential and Natural Logarithm Functions
22 − Differentiating Exponential and Logarithmic Functions in Bases other than e
23 − Applications of Derivatives of Exponential Functions
24 − Applications of Derivatives of Logarithmic Functions
25 − Introduction to Finding Extrema on an Interval
26 − Finding Critical Numbers
27 − Finding Absolute Extrema on a Closed Interval
28 − Application of the Extreme Value Theorem
29 − The Mean Value Theorem and Rolle's Theorem
30 − Applications of the Mean Value Theorem and Rolle's Theorem
31 − Increasing and Decreasing Intervals
32 − The First-Derivative Test
33 − Concavity and Inflection Points
34 − The Second Derivative Test for Extrema
35 − Horizontal Asymptotes and Limits at Infinity
36 − Techniques for Curve Sketching Using Derivatives
37 − Sketching the Derivative Function Given f(x)
38 − Optimization
39 − More Optimization Problems
40 − Newton's Method
41 − Modeling Discrete Phenomena with Differentiable Functions
42 − Using Tangent Line Approximations
43 − Differentials
44 − Error Propagation
45 − Differentials in Business Applications
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