   Chapter 8.4, Problem 2SWU ### 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 1-4, find the derivative of the function. g ( x )   =  ( x 3 +   4 ) 4

To determine

To calculate: The derivative of the function g(x)=(x3+4)4.

Explanation

Given Information:

The provided function is g(x)=(x3+4)4.

Formula used:

General power rule of differentiation:

ddx[xn]=nxn1

The sum and difference formula of differentiation:

ddx[f(x)+g(x)]=f(x)+g(x)

Calculation:

Consider the provided function is,

g(x)=(x3+4)4

Apply the general power rule of differentiation.

g(x)=dd[(x3+4)4]=4(x3+4)3ddx[x3+4]

Apply the sum and difference formula of differentiation to find the derivative of the above function.

4(x3+4)3ddx[x3+4]=4(x3+4)3(ddx[x3]+ddx)

Substitute ddx=0 in the above function

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