Consider the following. g$($x$)=8$e$^(5\mathrm{.}5$x$)$;h$($x$)=8(5\mathrm{.}5^($x$))($a$)$ Write the product function. f$($x$)=($b$)$ Write the rate$-$of$-$change function. f$^(\text{'})($x$)=$