Explanation Given information: The given function is, h ( x ) = ( x + 1 ) ( 2 x 2 + 1 ) 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 Quotient Rule is, h ′ ( x ) = f ( x ) g ′ ( x ) − f ′ ( x ) g ( x ) f 2 ( x ) Calculation: The given function is, h ( x ) = ( x + 1 ) ( 2 x 2 + 1 ) 2 (1) Differentiate equation (1) with respect to x on both sides to evaluate h ′ ( x ) . h ′ ( x ) = ( x + 1 ) ′ ( 2 x 2 + 1 ) 2 − ( x + 1 ) [ ( 2 x 2 + 1 ) 2 ] ′ ( 2 x 2 + 1 ) 4 &#

10th Edition

ISBN: 9781337825597

Author: Tan

Publisher: INTER CENG

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Chapter 3, Problem 24RE

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To find: The derivative of the given function.

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Chapter 3, Problem 22RE

Chapter 3, Problem 25RE

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Chapter 3 Solutions

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The derivative of the given function.

Solution Summary: The author explains the formula to calculate the differential of a function by General Power Rule.

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To find: The derivative of the given function.

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Chapter 3 Solutions