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 f(x) = x exp(-x²) Critical Point 1 = is what by the Second Derivative Test ? Critical Point 2 = is what by the Second Derivative Test v ? No "oblem. Local Max ers Local Min Yc Yc Test Fails

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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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
f(x) = x exp(-x²)
Critical Point 1 =
is what by the Second Derivative Test
?
Critical Point 2 =
is what by the Second Derivative Test
?
v ?
No
"oblem.
Local Max
ers
Local Min
Yc
Yc
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 f(x) = x exp(-x²) Critical Point 1 = is what by the Second Derivative Test ? Critical Point 2 = is what by the Second Derivative Test ? v ? No "oblem. Local Max ers Local Min Yc Yc Test Fails
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