   Chapter 11.5, Problem 16E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 1-66, find the derivative of the function. [HINT: See Quick Example 5-14.] r ( x ) = ( e 2 x 2 ) 3

To determine

To calculate: The derivative of the function r(x)=(e2x2)3.

Explanation

Given information:

The provided function is r(x)=(e2x2)3.

Formula used:

The derivative of e raised to a function ddx(eu)=eududx.

And the derivative of the function using power rule, y=xn is dydx=nxn1.

Constant multiple rule of derivative of function f(x) is f(cx)=cf(x) where, c is constant.

Calculation:

Consider the provided function r(x)=(e2x2)3,

Rewrite the function as,

r(x)=e6x2

To calculate the derivative of the function r(x)=e6x2.

Apply the derivative of e raised to a function ddx(eu)=eududx

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