Consider the function f(x) (a) Find all critical numbers c of f. (b) f is increasing for x € -2x³+27x² - 108x + 7. (c) f is decreasing for x € C = Note: Input U, infinity, and -infinity for union, ∞, and -∞, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 34E: For each function, find a the critical numbers; b the open intervals where the function is...
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Consider the function f(x) = −2x³ + 27x² − 108x + 7.
(a) Find all critical numbers c of f.
(b) f is increasing for x E
(c) f is decreasing for x E
C=
Note: Input U, infinity, and -infinity for union, ∞, and -∞, respectively. If there are multiple answers, separate them by commas. If there is no answer,
input none.
Transcribed Image Text:Consider the function f(x) = −2x³ + 27x² − 108x + 7. (a) Find all critical numbers c of f. (b) f is increasing for x E (c) f is decreasing for x E C= Note: Input U, infinity, and -infinity for union, ∞, and -∞, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none.
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