the absolute maximum value of g: 88 and the absolute minimum value of g: -15(nin mu mutlakee l

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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Suppose fis twice-differentiable function on (-0, 00) satisfying the following conditions:
1. z = 5 and r =
12 are the only critical points of f in the interval (1, 16),
2. f(5) = 3, f(12) = 8, f(1) = 1 and f(16) = -1,
3. f'(1) = -1 and f'(16) = -2,
%3D
4. |f"(x)| <1 for all x in the interval [1, 16].
Find the absolute maximum and minimum values of the function g(x) = 11f(x) – (f'(x))² on the interval [1, 16].
Transcribed Image Text:Suppose fis twice-differentiable function on (-0, 00) satisfying the following conditions: 1. z = 5 and r = 12 are the only critical points of f in the interval (1, 16), 2. f(5) = 3, f(12) = 8, f(1) = 1 and f(16) = -1, 3. f'(1) = -1 and f'(16) = -2, %3D 4. |f"(x)| <1 for all x in the interval [1, 16]. Find the absolute maximum and minimum values of the function g(x) = 11f(x) – (f'(x))² on the interval [1, 16].
O the absolute maximum value of g: 8 and the absolute minimum value of g: -12(
the absolute maximum value of g: 440 and the absolute minimum value of g:-15( g
ium dabori
O the absolute maximum value of g: 80 and the absolute minimum value of g: -11
the absolute maximum value of g: 14 and the absolute minimum value of g: -44(
the absolute maximum value of g: 88 and the absolute minimum value of g: -15(nin mutlak mali
mutlal
Transcribed Image Text:O the absolute maximum value of g: 8 and the absolute minimum value of g: -12( the absolute maximum value of g: 440 and the absolute minimum value of g:-15( g ium dabori O the absolute maximum value of g: 80 and the absolute minimum value of g: -11 the absolute maximum value of g: 14 and the absolute minimum value of g: -44( the absolute maximum value of g: 88 and the absolute minimum value of g: -15(nin mutlak mali mutlal
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