Consider the function f(x) = 4x²e-. 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.

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 function ƒ(x) = 4x²e¯¾.
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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Transcribed Image Text:Consider the function ƒ(x) = 4x²e¯¾. 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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