Let f(x) = x²e19x (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 = 0, (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (-19.00) X= 2 19 8 (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) 2 19 -∞, - X = X (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, ent 2 19 X 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, ent- 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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 35CR
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Please help Problem 14
Let f(x) = x²e19x
(a) Find the critical values of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
2
19
x = 0,
-
(b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.)
2
19'
(c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.)
2
19
-∞, -
X =
X
(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.)
2
19
X
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 = 0
X
Transcribed Image Text:Let f(x) = x²e19x (a) Find the critical values of f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 2 19 x = 0, - (b) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) 2 19' (c) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notation.) 2 19 -∞, - X = X (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.) 2 19 X 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 = 0 X
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,