To determine To find: The derivative of the given function using the product rule. Explanation Given: The function is y = ( 7 x − 6 ) 2 . Rewrite the function as, y = ( 7 x − 6 ) ( 7 x − 6 ) . Formula used: (1). The product rule is, d d x [ u ( x ) ⋅ v ( x ) ] = u ( x ) ⋅ v ' ( x ) + v ( x ) ⋅ u ' ( x ) . (2). The sum or difference rule , d d x ( u ( x ) + v ( x ) ) = d d x ( u ( x ) ) + d d x ( v ( x ) ) . (3) The power rule, d d x ( x n ) = n x n − 1 . (4) The constant rule, d d x ( k ) = 0 . Calculation: The given function is in the product form. Apply the product rule for the given function. Let u ( x ) = ( 7 x − 6 ) and v ( x ) = ( 7 x − 6 ) . d d x [ ( 2 x − 5 ) ( 2 x − 5 ) ] = ( 7 x − 6 ) d d x ( 7 x − 6 ) + ( 7 x − 6 ) d d x ( 7 x − 6 ) = ( 7 x − 6 ) ( d d x ( 7 x ) − d d x ( 6 ) )

Calculus with Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Lial, Greenwell & Ritchey, The Applied Calculus & Finite Math Series)

11th Edition

ISBN: 9780133886832

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 4.2, Problem 4E

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To find: The derivative of the given function using the product rule.

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Chapter 4.2, Problem 3E

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Calculus with Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Lial, Greenwell & Ritchey, The Applied Calculus & Finite Math Series)

Ch. 4.1 - YOUR TURN 1 find f′(t). Ch. 4.1 - YOUR TURN 2 find dy/dx. Ch. 4.1 - Prob. 3YT Ch. 4.1 - Prob. 4YT Ch. 4.1 - Prob. 5YT Ch. 4.1 - Prob. 1WE Ch. 4.1 - Prob. 2WE Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...

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