Find the inflection points of thefunction f(x) = e(23 - x²). INTERMEDIATE WORK f'(x) = -23e^(-x)+x^2e^(-x)-2xe^(-x) f"(x) = = 21e^(-x)+4xe^(-x)-x^2e^(-x) On what intervals is f concave upward? On what intervals is f concave downward? (Give your answer in interval notation, for example: [a,b) U (c,d]. If needed enter -∞as - infinity and ∞ as infinity.) FINAL ANSWER Inflection points of f(x) are (Give your answer as a comma separated list, for

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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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Find the inflection points of thefunction
f(x) = e(23 - x²).
INTERMEDIATE WORK
f'(x) =
-23e^(-x)+x^2e^(-x)-2xe^(-x)
f"(x) =
21e^(-x)+4xe^(-x)-x^2e^(-x)
On what intervals is f concave upward?
On what intervals is f concave downward?
(Give your answer in interval notation, for example:
[a,b) U (c,d]. If needed enter -∞as - infinity
and ∞ as infinity.)
FINAL ANSWER
Inflection points of f(x) are
(Give your answer as a comma separated list, for
example: a, b, ...)
Transcribed Image Text:Find the inflection points of thefunction f(x) = e(23 - x²). INTERMEDIATE WORK f'(x) = -23e^(-x)+x^2e^(-x)-2xe^(-x) f"(x) = 21e^(-x)+4xe^(-x)-x^2e^(-x) On what intervals is f concave upward? On what intervals is f concave downward? (Give your answer in interval notation, for example: [a,b) U (c,d]. If needed enter -∞as - infinity and ∞ as infinity.) FINAL ANSWER Inflection points of f(x) are (Give your answer as a comma separated list, for example: a, b, ...)
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