a. Find the critical numbers of f on the given interval b. Determine the absolute extreme values of f on the given intervals if they exist. 1. f(x) = 3x² - 4x + 1 on [−1,1] x 2. f(x) = on [0,2] x²+1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 33E
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a. Find the critical numbers of f on the given interval
b. Determine the absolute extreme values of f on the given intervals if they exist.
1. f(x) = 3x² - 4x + 1 on [−1,1]
x
2. f(x) = on [0,2]
x²+1
Transcribed Image Text:a. Find the critical numbers of f on the given interval b. Determine the absolute extreme values of f on the given intervals if they exist. 1. f(x) = 3x² - 4x + 1 on [−1,1] x 2. f(x) = on [0,2] x²+1
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