Derivatives

OpenStax

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Defining the derivative

The derivative as a function

1 Derivative functions

2 Graphing a derivative

3 Derivatives and continuity

5 Higher-order derivatives

7 Key equations

Differentiation rules

Derivatives as rates of change

1 Amount of change formula

2 Motion along a line

3 Population change

4 Changes in cost and revenue

Derivatives of trigonometric functions

1 Derivatives of the sine and cosine functions

3 Derivatives of other trigonometric functions

4 Higher-order derivatives

6 Key equations

1 Deriving the chain rule

2 The chain and power rules combined

3 Combining the chain rule with other rules

4 Composites of three or more functions

6 The chain rule using leibniz’s notation

8 Key equations

Derivatives of inverse functions

Implicit differentiation

Derivatives of exponential and logarithmic functions

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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