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Chapter 9

Applications of Derivatives

Critical points, maxima and minima, the second derivative test, and linear approximation.

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9.1 Derivatives of Polynomial, Rational, Exponential, Logarithmic, and Trigonometric Functions

Reviewing Derivatives of Various Function TypesMedium

9.2 Critical Points

Critical Points and Where They OccurMedium

9.3 Maximum and Minimum

Increasing and Decreasing IntervalsMedium
Finding Absolute and Local ExtremaHard

9.4 The Second Derivative Test

The Second Derivative and ConcavityMedium
The Second Derivative Test for ExtremaHard

9.5 Approximation

Linear Approximation Using DerivativesMedium

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