Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine whether each corresponds to a local minimum or maximum. Let Critical Point 1 = Critical Point 2 = e-x² f(x) = = xe is what by the Second Derivative Test ✓? is what by the Second Derivative Test Local Max Local Min Test Fails

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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine whether each
corresponds to a local minimum or maximum. Let
Critical Point 1
Critical Point 2
II
=
=
ƒ(x) =
-x²
= xe
is what by the Second Derivative Test ✓?
is what by the Second Derivative Test
Local Max
Local Min
Test Fails
Transcribed Image Text:Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine whether each corresponds to a local minimum or maximum. Let Critical Point 1 Critical Point 2 II = = ƒ(x) = -x² = xe is what by the Second Derivative Test ✓? is what by the Second Derivative Test Local Max Local Min Test Fails
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