Question

Use a graphing utility to graph the function on the closed interval [a, b]. Determine whether Rolle 's Theorem can be applied to f on the interval and, if so, find  all values of c in the open interval (a, b) such that f ' (c) = 0.

Answer 1

Step 1:

The function , on interval .

Graph the function:

Step 2:

Rolle's theorem:

The function is continuous on , differentiable on and .

, on interval .

Hence, the function is not continuous on interval .

Hence, Rolle's theorem does not apply.

Solution:

Rolle's theorem does not apply.