Applications of derivatives

OpenStax

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Linear approximations and differentials

Maxima and minima

1 Absolute extrema

2 Local extrema and critical points

4 Locating absolute extrema

The mean value theorem

Derivatives and the shape of a graph

1 The first derivative test

2 Concavity and points of inflection

3 The second derivative test

Limits at infinity and asymptotes

Applied optimization problems

L’hôpital’s rule

1 Applying l’hôpital’s rule

3 Other indeterminate forms

4 Indeterminate form of type 0 · ∞

5 Indeterminate form of type ∞ − ∞

6 Growth rates of functions

Newton’s method

Antiderivatives

Source: OpenStax, Calculus volume 1. OpenStax CNX. Feb 05, 2016 Download for free at http://cnx.org/content/col11964/1.2

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