   Chapter 11.1, Problem 44E 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 [ 4 ( x 2 − | 3 x | ) ]

To determine

To calculate: The function derived from expression ddx[4(x2+3|x|)].

Explanation

Given Information:

The provided expression is ddx[4(x2+3|x|)].

Formula used:

Sum 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, 4(x2+3|x|)

Apply constant multiple rule of derivative with respect to x,

ddx[4(x2+3|x|)]=4ddx(x2+3|x|)

Apply sum r

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