Question

find the derivative of f(x)= x^x

Answer 1

\[\begin{array}{rcl}
f(x)&=&x^x\\
\ln f(x)&=&x\ln x\\
\frac{f'(x)}{f(x)}&=&\ln x+1\\
f'(x)&=&f(x)(\ln x+1)\\
f'(x)&=&x^x(\ln x+1)
\end{array}\]

Answer 2

It was my HS paper problem. Thanks for solving it. I was trying with a^x formula but i forgot of this. Exam is over and see now I have the answer :)

Answer 3

Okay :)