   Chapter 9.7, Problem 3E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Find the derivatives of the functions in Problems 1-32. Simplify and express the answer using positive exponents only. g ( x ) = 4 x 4

To determine

To calculate: The simplified form of the derivative of g(x)=4x4.

Explanation

Given Information:

The function is g(x)=4x4.

Formula used:

According to the power rule, if f(x)=xn, then,

f(x)=nxn1

According to the property of differentiation, if a function is of the form, g(x)=cf(x), then,

g(x)=cf(x)

Calculation:

Consider the provided function,

g(x)=4x4

Rewrite the function by the use of 1an=an,

g(x)=4x4

Differentiate both sides with respect to x,<

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