Consider the function f(x)= = - 3x²e-². a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Use parts a through d to identify any local maximums as ordered pairs. f. Use parts a through d to identify any local minimums as ordered pairs.

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 function f(x)=
=
- 3x²e-².
a. Find the first derivative. f'(x) =
b. List any critical values.
c. Identify intervals of increase.
d. Identify intervals of decrease.
e. Use parts a through d to identify any local maximums as ordered pairs.
f. Use parts a through d to identify any local minimums as ordered pairs.
Transcribed Image Text:Consider the function f(x)= = - 3x²e-². a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Use parts a through d to identify any local maximums as ordered pairs. f. Use parts a through d to identify any local minimums as ordered pairs.
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