Consider the following. h(x) = ex²_ Find h '(x). h'(x) = 2xe+² Solve h'(x) = 0 for x. X = h(0) = Find h(0), h(-3), and h(3). h(-3) = h(3) = -9 X Find the absolute extrema of the function h(x) Absolute maximum value: at x = ± at x = Absolute minimum value: = ex². -9 on [-3, 3]

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Consider the following.
h(x) = ex².
Find h '(x).
h'(x) =
Solve h '(x) = 0 for x.
X =
h(0)
2xet²
Find h(0), h(-3), and h(3).
=
h(3)
h(-3) =
=
- 9
X
Find the absolute extrema of the function h(x)
Absolute maximum value:
at x = ±
at x =
Absolute minimum value:
=
ex² -9 on [-3, 3]
Transcribed Image Text:Consider the following. h(x) = ex². Find h '(x). h'(x) = Solve h '(x) = 0 for x. X = h(0) 2xet² Find h(0), h(-3), and h(3). = h(3) h(-3) = = - 9 X Find the absolute extrema of the function h(x) Absolute maximum value: at x = ± at x = Absolute minimum value: = ex² -9 on [-3, 3]
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