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What is the derivative of #y=xlnx#?

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Mar 23, 2018

Answer:

#lnx+1# evaluated via Product Rule

Explanation:

The answer is: #y'=1*lnx+x*1/x=lnx+1#.

This is because the theorem of derivative of product (Product Rule) says:

#y=f(x)*g(x)rArry'(x)=f'(x)*g(x)+f(x)*g'(x)# where

#f(x)=x#

#f'(x)=1#

#g(x)=lnx#

#g'(x)=1/x#

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