Solution Found!
Checking the Mean Value TheoremThe function is zero at x =
Chapter 4, Problem 15E(choose chapter or problem)
Problem 15E
Checking the Mean Value Theorem
The function is zero at x = 0 1and x = 1 and differentiable on (0, 1), but its derivative on (0, 1) is never zero. How can this be? Doesn’t Rolle’s Theorem say the derivative has to be zero somewhere in (0, 1)? Give reasons for your answer.
Questions & Answers
QUESTION:
Problem 15E
Checking the Mean Value Theorem
The function is zero at x = 0 1and x = 1 and differentiable on (0, 1), but its derivative on (0, 1) is never zero. How can this be? Doesn’t Rolle’s Theorem say the derivative has to be zero somewhere in (0, 1)? Give reasons for your answer.
ANSWER:
Problem 15E
Checking the Mean Value Theorem
The function is zero at x= 0 1and x = 1 and differentiable on (0, 1), but its derivative on (0, 1) is never zero. How can this be? Doesn’t Rolle’s Theorem say the derivative has to be zero somewhere in (0, 1)? Give reasons for your answer.
Step by step solution
Step 1 of 3
The given function is ,
The function show that it is not continuous over the interval.