Differentiate each function. Show all your work $to$ communicate clearly and properly the process. $(After$ differentiation, you $do$

not need $to$ simplify your final answer; however, you must simplify the coefficients and powers.$)$

$e.f(t)=sec(4tan\sqrt[\phantom{2}]{t}-9t^4)$

$f.z()=cos((\frac{}{{}^2+1}{)}^3)-\frac{9}{10{}^5}$