   Chapter 4.5, Problem 40E ### 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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# Differentiating Functions of Other Bases In Exercises 35–44, find the derivative of the function. f ( x ) = 7 x 5

To determine

To calculate: The derivative of the function f(x)=7x5.

Explanation

Given information:

The provided function is f(x)=7x5.

Formula used:

Let a be a positive real number (a1) and let u be a differentiable function of x then ddx(ax)=(lna)ax

The derivative of function f(x)=un using the chain rule is:

f(x)=ddx(un)=nun1dudx

Where, u is the function of x.

Calculation:

Consider the function, f(x)=7x5

Apply derivative formula, ddx(ax)

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