- #1
Cpt Qwark
- 45
- 1
Homework Statement
Given [tex]f(x,y)=ycosx,x(t)=t^2,y(t)=sint[/tex]
Calculate [tex]\frac{df((x(t),y(t))}{dt}[/tex]
[tex]t∈ℝ[/tex]
Homework Equations
For parametric equations I know
[tex]\frac{dy}{dx}=\frac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]
The Attempt at a Solution
So far I have found
[tex]\frac{∂f}{∂x}=-ysinx[/tex]
[tex]\frac{∂f}{∂y}=cosx[/tex]
[tex]\frac{dx}{dt}=2t[/tex]
[tex]\frac{dy}{dt}=sint[/tex]
but I'm not too sure where to go afterwards.