   Chapter 11.4, Problem 45E 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 1-50, calculate the derivate of the function. [HINT: See Example 1.] f ( x ) = | x − ( 2 x − 3 ) 1 / 2 |

To determine

To calculate: The derivative of the function f(x)=|x(2x3)1/2|.

Explanation

Given Information:

The provided function is f(x)=|x(2x3)1/2|.

Formula used:

1) Derivative of function f(x)=(u)n using chain rule is

f(x)=ddx(u)n=nun1dudx,

Where, u is the function of x.

2) Differentiation of mod:

ddx|u|=|u|ududx

Calculation:

Consider the function, f(x)=|x(2x3)1/2|

Apply the formula for differentiation of mod,

f(x)=|x(2x3)1/2|x(2x3)1/2ddx(x(2x3)1/2)=

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