Explanation Given information: The given function is f ( x ) = ( 2 x + 1 ) 3 ( x 2 + x ) 2 . Formula used: The formula to calculate the differential of a function h ( x ) = [ g ( x ) ] n by General Power Rule is, h ′ ( x ) = n [ g ( x ) ] n − 1 ⋅ g ′ ( x ) The formula to calculate the differential of a function h ( x ) = [ g ( x ) f ( x ) ] by Product Rule is, h ′ ( x ) = f ( x ) g ′ ( x ) + f ′ ( x ) g ( x ) Calculation: The given function is, f ( x ) = ( 2 x + 1 ) 3 ( x 2 + x ) 2 (1) Differentiate equation (1) with respect to x on both sides to evaluate f ′ ( x ) . f ′ ( x ) = ( 2 x + 1 ) 3 d d x ( x 2 + x ) 2 + ( x 2 + x ) 2 d d x ( 2 x + 1 ) 3

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ISBN: 9781337825597

Author: Tan

Publisher: INTER CENG

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Chapter 3, Problem 26RE

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To find: The derivative of the given function.

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Chapter 3, Problem 25RE

Chapter 3, Problem 27RE

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Chapter 3 Solutions

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The derivative of the given function.

Solution Summary: The author explains the derivative of the given function and the formula to calculate the differential of a function.

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Chapter 3 Solutions