Question

Use parametric Differentiation to find dy/dx, given that x=2t^3cost & y=3e^3t + 4lnt

(i have an answer but just need checking)

Answer 1

dx/dt= 6t^2cost -2t^3sint dy/dt=9e^3t +4/t

Answer 2

therefore dy/dx = (9e^3t+4/t)/(2t^2(3cost-tsint))

Answer 3

aha simplify lol..

Answer 4

okay let me just work this out...

I don't think it simplifies further.

Answer 5

no i mean my answer lol...