   Chapter 11.4, Problem 104E 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

Say why the following was marked wrong, and give the correct answer. d d x [ ( 3 x 3 − 1 2 x − 2 ) 3 ] = 3 ( 3 x 2 − 1 2 x − 2 ) ( 6 x 2 ) X WRONG!

To determine

The reason for marking the function ddx[(3x212x2)3] and the correct answer.

Explanation

Given Information:

Function with wrong derivative:

ddx[(3x212x2)3]=3(3x212x2)2(6x2)

Consider the function, ddx[(3x212x2)3]

Derivative of function f(x)=(u)n using chain rule is f'(x)=ddx(u)n=nun1dudx, where u is the function of x and dudx is unspecified. The quotient rule is ddx(uv)=vdudxudvdxv2 where v is the function of x

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