Explanation Given: d d x ( 2 x 2 + 1 − x ) Take the constant out = 2 d d x ( x 2 + 1 − x ) Apply the chain rule d f ( u ) d x = d f d u · d u d x = 2 d d u ( u ) d d x ( x 2 + 1 − x ) d d u ( u ) Apply radical rule : a = a 1 2 = d d u ( u 1 2 ) Apply the Power Rule : d d x ( x a ) = a · x a − 1 = 1 2 u 1 2 − 1 Simplify 1 2 u 1 2 − 1 = 1 2 u

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 4.2, Problem 38E

To determine

Find the critical point and endpoint at the minimum and maximum value of the function of y=2x2+1−x,[0,2].

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Chapter 4.2, Problem 37E

Chapter 4.2, Problem 39E

Chapter 4 Solutions

CALCULUS (CLOTH)

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Find the critical point and endpoint at the minimum and maximum value of the function of y = 2 x 2 + 1 − x , [ 0 , 2 ] .

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Find the critical point and endpoint at the minimum and maximum value of the function of y=2x2+1−x,[0,2].

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