Question

find dy/dx expressed as a function of t for the given the parametric equations:

x=cos^3(t)
y=9sin^2(t)

dy/dx=?

not sure how to solve this problem, should i be plugging in values for t?

Answer 1

\[\frac{dy}{dx}=\frac{dy}{dt} \cdot \frac{dt}{dx} \text{ or } \frac{\frac{dy}{dt}}{\frac{dx}{dt}}\]

Answer 2

differenitate x w.r.t.t and y w.r.t.t
then