   Chapter 4.2, Problem 18E Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Solutions

Chapter
Section Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

Using Rolle's Theorem In Exercises 11-26, determine whether Rolle's Theorem can be applied to f on the closed interval [a, b] If Rolle's Theorem can be applied, find all values of e in the open interval (a, b) such that f ' ( x ) = 0 . If Rolle's Theorem cannot be applied, explain why not. f ( x ) = x 2 − 4 x − 1 , ⌈ − 2 , 2 ⌉

To determine

Whether Rolle’s Theorem can be applied to f(x)=x24x1 on the closed interval [2,2] and if yes, then the values of c in the open interval (2,2) such that f(c)=0.

Explanation

The function f(x)=x24x1 is not defined at x=1 as the denominator of the function becomes 0 at x=1. Also, x=1 falls in the interval [2,2], therefore f(x)=

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 