Consider the following. (If an answer does not exist, enter DNE.) f(x) = x³ e-x (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) (0,6) (b) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) (-∞,0),(6,∞) (c) Find the exact local minimum and maximum value of f. local minimum value 0 local maximum value 115

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 22E
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I need help and an explanation on how to find the exact local minimum and maximum values of f

Consider the following. (If an answer does not exist, enter DNE.)
f(x) = x5 e-x
(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
(0,6)
(b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)
(-∞0,0),(6,00)
(c) Find the exact local minimum and maximum value of f.
local minimum value 0
local maximum value 115
Transcribed Image Text:Consider the following. (If an answer does not exist, enter DNE.) f(x) = x5 e-x (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) (0,6) (b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (-∞0,0),(6,00) (c) Find the exact local minimum and maximum value of f. local minimum value 0 local maximum value 115
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