Explanation To obtain the derivative of y = x 2 + 2 1 + ln x , differentiate y with respect to x as follows. d y d x = d d x ( x 2 + 2 1 + ln x ) = [ d d x ( ( x 2 + 2 ) ) ] ( 1 + ln x ) − ( x 2 + 2 ) [ d d x ( ( 1 + ln x ) ) ] ( 1 + ln x ) 2 = 2 x ( 1 + ln x ) − ( x 2 + 2 ) ⋅ 1 x ( 1 + ln ( x ) ) 2 = 2 x<

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

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Chapter 9.1, Problem 10E

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To find: The derivative of y=x2+21+lnx.

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Chapter 9.1, Problem 9E

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Chapter 9 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

Ch. 9.1 - Show that y=Cx+1 is the general solution of the...Ch. 9.1 - Prob. 2MP Ch. 9.1 - Prob. 3MP Ch. 9.1 - Prob. 4MP Ch. 9.1 - Prob. 5MP Ch. 9.1 - Prob. 1ED Ch. 9.1 - Prob. 2ED Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E

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The derivative of y = x 2 + 2 1 + ln x .

Solution Summary: The author explains how to obtain the derivative of y=x2+2+mathrmln

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Chapter 9 Solutions