# Derivatives

### Exercises

Page (9 of 9) Exercises:   1    2    3    4    5    6    7    8    9

#### Exercise 9

For each given function f and interval, determine if Rolle's Theorem guarantees the existence of some c in that interval with f'(c) = 0. If not, explain why not.

•  f(x) = \frac{1}{x + 1} on the interval (-1,1).