If ƒ is continuous for a < x < b and differentiable for a < x < b , which of the following could be false? (A) f'(c) = f (b) – f(a) for some c such that a < c < b. b- a (B) f'(C)=0 for some c such that a < c < b . (C) ƒ has a minimum value on a < x < b . (D) ƒ has a maximum value on a < x < b .

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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If f is continuous for
<xsb and differentiable for a < x < b , which of the following could be
false?
f (b) – f(a)
b - a
(A) f'(c) = J (0)-J (4) for some c such that a < c < b .
(B) f'C)=0 for some c such that a < c < b.
(C) ƒ has a minimum value on a < x < b .
(D) f has a maximum value on a < x < b.
Transcribed Image Text:If f is continuous for <xsb and differentiable for a < x < b , which of the following could be false? f (b) – f(a) b - a (A) f'(c) = J (0)-J (4) for some c such that a < c < b . (B) f'C)=0 for some c such that a < c < b. (C) ƒ has a minimum value on a < x < b . (D) f has a maximum value on a < x < b.
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