Chapter 2.1, Problem 82E

For Exercises 69–84, draw a graph to match the description given. Answers will vary.

$g\left(x\right)$

has a positive derivative over $\left(-\infty ,-3\right)$

and $\left(0,3\right)$

a negative derivative over $\left(-3,0\right)$

and $\left(3,\infty \right)$

and a derivative equal to 0 at $x=-3$

and $x=3,$

but g’(0) does not exist.