Determine all critical points for the following. Identify the absolute max/min. a) y = 2Vx + 1 - x [0, 2] b) y = (x – x3/3 [- 1, 2] c) y = (x - 1)' [0, 2]

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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1. Determine all critical points for the following. Identify the absolute max/min.
а) у
= 2Vx + 1 - x
[0, 2]
b) y = (x – x3
[- 1, 2]
c) y = (x - 1)3
2
[0, 2]
2. Determine all critical points for the following. Identify the maxima/minima. Use the
first derivative test.
а) у
2/3
= 6x - 4x + 1
b) y = (x + 1)* – 0.5x
Transcribed Image Text:1. Determine all critical points for the following. Identify the absolute max/min. а) у = 2Vx + 1 - x [0, 2] b) y = (x – x3 [- 1, 2] c) y = (x - 1)3 2 [0, 2] 2. Determine all critical points for the following. Identify the maxima/minima. Use the first derivative test. а) у 2/3 = 6x - 4x + 1 b) y = (x + 1)* – 0.5x
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