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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following.
h(x) = ex2 − 4
 
Find 
h '(x)=
 
Solve 
h '(x) = 0 for x.
x=
 
Find 
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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