   Chapter 7.4, Problem 8SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 1-8, find the derivative of the function. f ( x ) = ( x + 2 ) 3 ( x 2 − 9 ) 2

To determine

To calculate: The derivative of the function f(x)=(x+2)3(x29)2.

Explanation

Given information:

The provided function is f(x)=(x+2)3(x29)2.

Formula used:

According to the quotient rule of differentiation, the derivative of the quotient of the two differentiable functions is equal to the denominator with derivative of the numerator minus the numerator with derivative of the denominator and all divided by the square of the denominator.

ddx[f(x)g(x)]=g(x)f(x)f(x)g(x)[g(x)]2,g(x)0

Calculation:

Consider the provided function is,

f(x)=(x+2)3(x29)2

Apply the quotient rule for the derivative the function, f(x)=(x+2)3(x29)2.

f(x)=((x29)2)ddx((x+2)3)((x+2)3)ddx((x29)2)(

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