Problem 107. Suppose that a differentiable function y = f(x) has the property that f(2)=-4 and f(4) = -2. Explain why there must exist some input value in the input interval 2 ≤ x ≤ 4 where f'(x) = 1. Can you determine the value of x? |

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 107. Suppose that a differentiable function y = f(x) has the property that
ƒ(2) = -4 and f(4) = -2. Explain why there must exist some input value in the input
interval 2 ≤ x ≤ 4 where f'(x) = 1. Can you determine the value of x?
|
Transcribed Image Text:Problem 107. Suppose that a differentiable function y = f(x) has the property that ƒ(2) = -4 and f(4) = -2. Explain why there must exist some input value in the input interval 2 ≤ x ≤ 4 where f'(x) = 1. Can you determine the value of x? |
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