Question

What is the derivative of `f(x) = e^(x*logx)`?

Answer 1

`d/dx e^(xlogx)=e^(xlog(x))(1+log(x))`

Explanation:

`d/dx e^(xlogx)`
`=e^(xlog(x))d/dx(xlog(x))` (chain rule)
`=e^(xlog(x))(x*1/x+1 * log(x))` (product rule)
`=e^(xlog(x))(1+log(x))`