Consider the function f(x) x - 2x2 - 4x + 1 on the interval [-1, 3]. Find f'(x). F'(x) = 3x – 4x – 4 Find the critical values. Evaluate the function at the critical values. (х, у) - (smaller x-value) (x, y) = (larger x-value) Evaluate the function at the endpoints of the given interval. (x, y) = (smaller x-value) (х, у) %3D (larger x-value) Find the absolute maxima and minima for f(x) on the interval [-1, 3]. (x, y) = -2 67 3: 27 absolute maxcimum absolute minimum (х, у) - 2, – 7

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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Consider the function f(x)
x - 2x2 - 4x + 1 on the interval [-1, 3].
Find f'(x).
F'(x) = 3x – 4x – 4
Find the critical values.
Evaluate the function at the critical values.
(х, у) -
(smaller x-value)
(x, y) =
(larger x-value)
Evaluate the function at the endpoints of the given interval.
(x, y) =
(smaller x-value)
(х, у) %3D
(larger x-value)
Find the absolute maxima and minima for f(x) on the interval [-1, 3].
(x, y) =
-2 67
3: 27
absolute maxcimum
absolute minimum
(х, у) -
2, – 7
Transcribed Image Text:Consider the function f(x) x - 2x2 - 4x + 1 on the interval [-1, 3]. Find f'(x). F'(x) = 3x – 4x – 4 Find the critical values. Evaluate the function at the critical values. (х, у) - (smaller x-value) (x, y) = (larger x-value) Evaluate the function at the endpoints of the given interval. (x, y) = (smaller x-value) (х, у) %3D (larger x-value) Find the absolute maxima and minima for f(x) on the interval [-1, 3]. (x, y) = -2 67 3: 27 absolute maxcimum absolute minimum (х, у) - 2, – 7
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