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Theory and ExamplesRolle’s Theorema. Construct a
Chapter 4, Problem 60E(choose chapter or problem)
QUESTION:
Problem 60E
Theory and Examples
Rolle’s Theorem
a. Construct a polynomial ƒ(x) that has zeros at x = -2, -1, 0, 1, and 2
b. Graph ƒ and its derivative f ' together. How is what you see related to Rolle’s Theorem?
c. Do g(x) = sin x and its derivative g' illustrate the same phenomenon as f and f'?
T
Questions & Answers
QUESTION:
Problem 60E
Theory and Examples
Rolle’s Theorem
a. Construct a polynomial ƒ(x) that has zeros at x = -2, -1, 0, 1, and 2
b. Graph ƒ and its derivative f ' together. How is what you see related to Rolle’s Theorem?
c. Do g(x) = sin x and its derivative g' illustrate the same phenomenon as f and f'?
T
ANSWER:
Solution:
Step 1 of 6:
a)In this problem, we need to construct a polynomial that has zeros at
.