   Chapter 11.5, Problem 57E 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.] g ( x ) = e 3 x − 1 e x − 2 e x

To determine

To calculate: The derivative of the function g(x)=e3x1ex2ex.

Explanation

Given information:

The provided function is g(x)=e3x1ex2ex.

Formula used:

The derivative of e raised to a function is ddxeu=eududx.

Constant multiple rule of derivative of a function:

f'(cx)=cf'(x)

Where c is constant.

Calculation:

Consider the function, g(x)=e3x1ex2ex.

Simplify the function g(x)=e3x1ex2ex as,

g(x)=e3x1ex2ex=e3x1+x2+x=e5x3

The derivative of e raised to a function is ddxeu=eududx

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