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Home Q & A Board Science-Related Homework Help Mathematics
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quixie quixie
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9 years ago
Find all critical numbers and use the First Derivative Test to classify each as a local maximum, local minimum, or neither.

f(x) = xe^-3x

a. critical point: x=-1/3; f(-1/3) = -1/3e (local minimum)

b. critical point: x = 1/3; f(1/3) = 1/3e (local maximum)

c. critical points: x = -1/3, x=1/3; f(1/3) = 1/3e (local maximum), f(-1/3) = -1/3e (local minimum)

d. critical points: x=-1/3, x=0, x=1/3; f(1/3) = 1/3e (local maximum), x=0 (neither), f(-1/3) = -1/3e (local minimum)
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#1
Educator
9 years ago
See if this helps...
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quixie Author
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#2
8 years ago
Thank you for your help. Slight Smile
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#3
Educator
8 years ago
You're welcome.
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