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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Differentiate the function.

y = ln(ex + xex)

To determine

To find: The derivative of y.

Explanation

Given:

The function y=ln(ex+xex).

Calculation:

Given function can be expressed as follows,

y=ln(ex(1+x))=ln(ex)+ln(1+x)         (Qlnab=lna+lnb)=xlne+ln(1+x)         (Qlnax=xlna)=x+ln(1+x)                (Qlne=1)

Obtain the derivative y

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