Consider the following. h(x) = ex2 − 4 Find  h '(x). h '(x) =        Solve  h '(x) = 0  for x. x =        Find h(0),  h(−2),

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Consider the following.
h(x) = ex2 − 4
Find 
h '(x).
h '(x) = 
 
 
 
Solve 
h '(x) = 0
 for x.
x = 
 
 
 
Find h(0), 
h(−2),
 and 
h(2).
h(0)  = 
 
 
 
h(−2)  = 
 
 
 
h(2)  = 
 
 
 
Find the absolute extrema of the function h(x) = ex2 − 4 on 
[−2, 2]
Absolute maximum value:
 
 
 
 at x = ± 
 
 
 
Absolute minimum value:
 
 
 
 at x = 
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