Explanation Given: The function, F ( x ) = ( 4 x − x 2 ) 100 . 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 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 F ' ( x ) = d d x ( 4 x − x 2 ) 100 = 100

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 3.5, Problem 8E

To determine

The derivative of the function, F(x)=(4x−x2)100 .

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Chapter 3.5, Problem 7E

Chapter 3.5, Problem 9E

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Chapter 3 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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The derivative of the function, F ( x ) = ( 4 x − x 2 ) 100 .

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 of the function, F(x)=(4x−x2)100 .

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