Explanation Given: The function, y = x + 1 x 4 3 . Concept Used: Chain rule, d d x ( f ( g ( x ) ) ) = f ' ( g ( x ) ) ⋅ g ' ( x ) Power rule of derivatives, d d x ( x n ) = n x n − 1 Exponent rule: a n = a 1 / n , 1 a − n = a n Derivative of any constant C is zero, that is, d d x ( C ) = 0 Calculation: In order to find the derivative of the function, use chain rule and power rule of derivatives and simplify further to get y ' = d d x ( x + 1 x 4 3 ) = d d x ( x ) + d d x ( 1 x 4 3

15th Edition

ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Question

Chapter 3, Problem 17E

To determine

The derivative y' of the function, y=x+1x43 .

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Chapter 3, Problem 16E

Chapter 3, Problem 18E

Chapter 3 Solutions

Biocalculus: Calculus For Life Sciences

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The derivative y ' of the function, y = x + 1 x 4 3 .

Solution Summary: The author explains how to find the derivative of the function using chain rule and power rule of derivatives.

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The derivative y' of the function, y=x+1x43 .

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