Let f(x) = x²15x (a) Find the critical values of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X= (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (d). Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X= (e) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X=

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 14E
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Let f(x) = x²15x
(a) Find the critical values of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X =
(b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.)
(c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.)
(d). Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
<=
(e) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X =
Transcribed Image Text:Let f(x) = x²15x (a) Find the critical values of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) (d). Find the x-value(s) of all local minima of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) <= (e) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X =
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