Explanation Given: Function as, y = x 2 + 5 x ( 3 x + 1 ) 3 . Calculation: Use the quotient rule and generalized power rule: y ′ = ( 3 x + 1 ) 3 d ( x 2 + 5 x ) d x − ( x 2 + 5 x ) d ( 3 x + 1 ) 3 d x [ ( 3 x + 1 ) 3 ] 2 = ( 3 x + 1 ) 3 ( 2 x + 5 ) − ( x 2 + 5 x ) [ 3 ⋅ ( 3 x + 1 ) 2 ⋅ ( 3 ) ] ( 3 x + 1 ) 6 = ( 3 x + 1 ) 3 ( 2 x + 5 ) − 9 ( x 2 + 5 x ) ( 3 x + 1 ) 2 (

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ISBN: 9780134776323

Author: MULLINS

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 11.7, Problem 45E

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To calculate: The derivative of given function, y=x2+5x(3x+1)3.

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Chapter 11.7, Problem 44E

Chapter 11.7, Problem 46E

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The derivative of given function, y = x 2 + 5 x ( 3 x + 1 ) 3 .

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To calculate: The derivative of given function, y=x2+5x(3x+1)3.

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Chapter 11 Solutions