calc question

[RobDowneyJr]

the derivative of x^x = x^x(ln (x) +1)
can anyone explain why

 

[dighn]

x^x = e^(xlnx)
d/dx = d/dx
=(e^(xlnx))*(1+lnx)
=x^x(1+lnx)

 

[Lizardman]

Well there you go.

 

[hdeck]

see, calculus is much easier than people make it out to be

 

[RobDowneyJr]

how about this:

lim (1+x)^(1/x)
x->0

can you explain why its e?