f(x) = x – 4.5x? – 12x + 2 a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x, y)). |(Separate multiple answers by commas.) c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x- coordinates. Relative maxima at: (Separato mu ultiple a nswoers by co mmas

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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f(x) = x' – 4.5x2 – 12x + 2
a) Determine the intervals on which f is concave
up and concave down.
f is concave up on:
f is concave down on:
b) Based on your answer to part (a), determine
the inflection points of f. Each point should be
entered as an ordered pair (that is, in the form
(х, у)).
(Separate multiple
answers by commas.)
c) Find the critical numbers of f and use the
Second Derivative Test, when possible, to
determine the relative extrema. List only the x-
coordinates.
Relative maxima at:
(Separate multiple answers by commas.)
Relative minima at:
(Separate multiple answers by commas.)
Transcribed Image Text:f(x) = x' – 4.5x2 – 12x + 2 a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (х, у)). (Separate multiple answers by commas.) c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x- coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.)
d) Find the x-value(s) where f'(x) has a relative
maximum or minimum.
f' has relative maxima at:
(Separate multiple answers by commas.)
f' has relative minima at:
(Separate multiple answers by commas.)
Transcribed Image Text:d) Find the x-value(s) where f'(x) has a relative maximum or minimum. f' has relative maxima at: (Separate multiple answers by commas.) f' has relative minima at: (Separate multiple answers by commas.)
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