Let f be a differentiable function with f (0) = -4 and f (10) = 11. Which of the following must be true for some cin the interval (0, 10) ? %3D A f' (c) = 0, since the Extreme Value Theorem applies. %3D 11+(-4) f' (c) since the Mean Value Theorem applies. 10-0 11-(4) f' (c): since the Mean Value Theorem applies. 10-0 D f' (c) = 1.5, since the Intermediate Value Theorem applies. %3D

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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Let f be a differentiable function with f (0) = -4 and f (10) = 11. Which of the following must be true for some cin the interval (0, 10) ?
%3D
f' (c) = 0, since the Extreme Value Theorem applies.
%3D
11+(-4)
f' (c) :
since the Mean Value Theorem applies.
10-0
11-(-4)
f' (c) :
since the Mean Value Theorem applies.
10-0
D
f' (c) = 1.5, since the Intermediate Value Theorem applies.
%3D
P Type here to search
近
Transcribed Image Text:Let f be a differentiable function with f (0) = -4 and f (10) = 11. Which of the following must be true for some cin the interval (0, 10) ? %3D f' (c) = 0, since the Extreme Value Theorem applies. %3D 11+(-4) f' (c) : since the Mean Value Theorem applies. 10-0 11-(-4) f' (c) : since the Mean Value Theorem applies. 10-0 D f' (c) = 1.5, since the Intermediate Value Theorem applies. %3D P Type here to search 近
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