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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 4, Problem 4RQ

To determine

Whether the statement, if *f* is differentiable and
*c* such that

Expert Solution

The given statement is true.

**Reason:**

The function *f* is a continuous function as *f* is differentiable function.

Also it is given that,

So, the local maximum or a local minimum occurs between *x* = −1 and *x* = 1.

There must be a point *c* such that, at the point *c* the value of the derivative is zero.

That is there exist a point *c* such that,

Therefore, the given statement is true.