   Chapter 11.5, Problem 119E 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

What is wrong with the following? d d x 3 2 x = ( 2 x ) 3 2 x − 1 X WRONG!

To determine

The error in the expression ddx32x=(2x)32x1.

Explanation

Given Information:

The provided expression is as follows:

ddx32x=(2x)32x1

Consider the expression,

ddx32x

As the derivative of constant b raised to a function is ddxbu=bulnbdudx.

Then, the derivative of the function is,

ddx32x=32xln3ddx(2x)

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

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