# How do you find local maximum value of f using the first and second derivative tests: #f(x)=x^3-2x+5# on the interval (-2,2)?

##### 1 Answer

Nov 27, 2017

See below.

#### Explanation:

First differentiate

equating this to zero and solving fot

We now use the second derivative test. If:

Second derivative:

These are both in the interval

Graph of function and first derivative: