   Chapter 11.1, Problem 114E 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

Following is an excerpt from your second enemy’s graded homework: f ( x ) = 3 4 x ; f ′ ( x ) = 0 4 = 0 X   W R O N G    − 10 .Why was it marked wrong? How would you correct it?

To determine

The wrong part in the homework that is, f(x)=34x;f(x)=04=0. Also, give the correct expression.

Explanation

Given Information:

The provided expression is f(x)=34x;f(x)=04=0.

Consider the provided expression f(x)=34x;f(x)=04=0,

Convert the expression f(x)=34x into the power form,

That is, f(x)=34x1

Now, differentiate the function f(x)=34x1 on each side with respect to x,

f(x)=ddx(34x1)

Now, apply constant multiple rule of derivative,

The constant multiple rule of derivative of function f(x) is ddx[cf(x)]=cddx[f(x)] where, c is constant

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