   Chapter 6.3, Problem 5SWU ### 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 1-6, find the indicated derivative. f ( x ) = e 3 x ,   f ( 4 ) ( x )

To determine

To calculate: The fourth derivative f4(x) for the function f(x)=e3x.

Explanation

Given Information:

The function is:

f(x)=e3x

Formula used:

The derivative of the exponential function is as:

deaxdx=aeax

Calculation:

Consider the provided expression:

f(x)=e3x

Now use the formula, the derivative of the exponential function is as:

deaxdx=aeax

Differentiate the above expression.

f(x)=3e3x

Again, differentiate with respect to x.

f(x)=3(3e3x)=9e3x

Again, differentiate with respect to x

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