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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

find the derivative of the function.

22 f ( x ) = ln x + x

To determine

To find: The derivative of the given function.

Explanation

Given:

The given function is,

f(x)=lnx+x=(lnx+x)1/2 (1)

Formula used:

The chain rule for the derivative of the function f(x)=g(t(x)) with respect to x, where t(x)=u is,

ddx(f(x))=ddu(g(u))ddx(t(x))

Calculation:

Use chain rule to differentiate both side of the equation (1) with respect to x.

ddxf(x)=ddx(lnx+x)1/2f'(x)=ddu(u)1/2ddx(lnx+x)=12u(121)(1x

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