   Chapter 11.5, Problem 21E 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 1-66, find the derivative of the function. [HINT: See Quick Example 5-14.] f ( x ) = ( x 2 + 1 ) ln x

To determine

To calculate: The derivative of the function f(x)=(x2+1)lnx.

Explanation

Given information:

The provided function is f(x)=(x2+1)lnx.

Formula used:

Product rule of derivative for the differentiable functions, f(x) and g(x) is,

ddx[f(x).g(x)]=[f(x)g(x)+f(x)g(x)]

The derivative of natural logarithm with respect to x:

ddx(lnx)=1x

The derivative of the function using power rule, y=xn is dydx=nxn1

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