   Chapter 11.1, Problem 43E 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 41-46, evaluate the given expression. d d x [ 1.2 ( x − | x | ) ]

To determine

To calculate: The function derived from expression ddx[1.2(x|x|)].

Explanation

Given Information:

The provided expression is ddx[1.2(x|x|)].

Formula used:

Difference rule of derivative, ddx[f(x)g(x)]=ddxf(x)ddxg(x)

Constant multiple rule, ddx[cf(x)]=cddxf(x) where, c is constant.

Power rule of a function y=xn is dydx=nxn1, where n is some constant.

Derivative of function f(x)=|x| is |x|x where x0.

Calculation:

Consider the function, 1.2(x|x|)

Apply constant multiple rule of derivative with respect to x,

ddx(1.2(x|x|))=1

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