using a graphics package $($e$.$g$.$ Matplotlib in Python$)$ draw the following functions on the same plot $($different colors

and separate legends$)$ for $0<=$ x $<=1$

$($a$)$ y $=$ x$^$x

$($b$)$ y $=$ x$^$log x

$($c$)$ y $=$ log x $($natural base$)$

$($d$)$ y $=$ e$^$x

$($e$)$ y $=$ x sin x