Question

What is the derivative of x^x?

Answer 1

hm, yup I got that. but somehow the answer then turns our to be (x^x)ln(x+1)

Answer 2

Take \(Y=x^x\) and the take natural log on both sides. that will help.

Answer 3

I meant (x^x)(lnx+1)

Answer 4

@ujjwal why doesn't the normal way of differentiating work here?

Answer 5

\(ln y=xlnx\) differentiate it now

Answer 6

because x is a variable. you can't differentiate if there is a variable on power.
You could do it by normal approach if it was \(x^n\) where n is constant.

Answer 7

Oh! Ok thank you!!