Question

differentiate [(xlnx)/(e^x)] with respect to x

Answer 1

f'(x)= (1*lnx)+{x*(1/x)}-1 
= lnx-1+1 
=lnx 

For differentiating the term xlnx use the product rule of diffrentiation which is mentioned below 
Suppose u have to differentiate g(x)= f( a)*f(b) 
g'(x)= f'(a)*f(b) + f(a)*f'(b)