Question 6 Let the function f be continuous and differentiable for all X. Suppose you are given that f(-1) = -3, and that f'(x) ≤ 4 for all values of x. Use the Mean Value Theorem to determine the largest possible value of f(5).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Let the function f be continuous and differentiable for all
X.
Suppose you are given that f(-1) = -3, and that
f'(x) < 4 for all values of x.
Use the Mean Value Theorem to determine the largest
possible value of f(5).
Transcribed Image Text:Question 6 → Let the function f be continuous and differentiable for all X. Suppose you are given that f(-1) = -3, and that f'(x) < 4 for all values of x. Use the Mean Value Theorem to determine the largest possible value of f(5).
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