3x5 – 20x3 f(x) = f'(x) = 15x2(x – 2)(x + 2) f"(x) = 60x(x² – 2) he relative maxinma relative mininma

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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A function and its first and second derivatives are given. Use these to find each of the following.
f(x)
3x5 - 20х3
15x2(x – 2)(x + 2)
60x(x² – 2)
f'(x)
f"(x)
Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.)
(x, y) = (
relative maxima
(x, y) = (|
relative minima
points of inflection
(х, у) %3D
(smallest x-value)
points of inflection
(х, у) %3
(x, Y) = (|
points of inflection
(largest x-value)
Transcribed Image Text:A function and its first and second derivatives are given. Use these to find each of the following. f(x) 3x5 - 20х3 15x2(x – 2)(x + 2) 60x(x² – 2) f'(x) f"(x) Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) (x, y) = ( relative maxima (x, y) = (| relative minima points of inflection (х, у) %3D (smallest x-value) points of inflection (х, у) %3 (x, Y) = (| points of inflection (largest x-value)
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