For the given functions, $($a$)$ express d$/$dt $($w$)$ as a function of t$,$ both by using the Chain Rule and by expressing win terms of t and differentiating directly with respect to t$.$ Then $($b$)$

evaluate d$/$dt $($w$)$ at the given value of t

w $=3$x $^2+4$y $^2,$ x $=$ cos t$,$ y $=$ sin t$,$ t $=$ pi$/3$

a$.$ Express d$/$dt $($w$)$ as a function of t

d$/$dt $($w$)=$