Complete Test Prep: Calculus, Part 2

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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