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

1 Answer
May 22, 2018

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))