Consider the following function. f(x) = (x + 5)2/3 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = -5 (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE. increasing -5,00 decreasing -∞, -5 relative minimum X (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = DNE (x, y) = X -5,0

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 31E
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Consider the following function.
f(x) = (x + 5)2/3
(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)
x = -5
(b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
increasing
-5,00
decreasing
-∞, - 5
(c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)
DNE
relative maximum
relative minimum
(x, y)
(x, y)
=
=
-5,0
Transcribed Image Text:Consider the following function. f(x) = (x + 5)2/3 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = -5 (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing -5,00 decreasing -∞, - 5 (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) DNE relative maximum relative minimum (x, y) (x, y) = = -5,0
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