Consider the following function on the given interval.

f$($x$)=15+4$x $$ x$2,[0,5]$

Find the derivative of the function.

f$($x$)=$

Find any critical numbers of the function. $($Enter your answers as a comma$-$separated list. If an answer does not exist, enter DNE.$)$

x $=$

Find the absolute maximum and absolute minimum values of f on the given interval.

absolute minimum value

absolute maximum value