Question

y=x^2x найти производную

Answer 1

$y' = (x^{2x})' = (e^{2xlnx})' = e^{2xlnx}*(2x*lnx)' = \\ \\ = e^{2xlnx}*(2lnx+2x* \frac{1}{x} ) = 2x^{2x}*(lnx+1)$