Question

y=x^ex,求y的导数

Answer 1

y= x^(e^x) (1)

lny=e^x lnx (2) //:对(1)两边取对数

y'/y = e^x (lnx + 1/x) (3) //:(2)两边对x求导

y' = x^(e^x) e^x (lnx + 1/x) (4) //:最后结果