Since both my questions are on the same topic, i'll throw them both in here
1. Find dz/dt for z=(x^2)(t^2), x^2+3xt+2t^2=1
2. Show that if u=xy, v=xy and z=f(u,v) then:
The Attempt at a Solution
1. I only know how to do this when I have something like:
z=x+y, x=t+..., y=t+...
2. I realize that after I get the partial derivatives I just have to substitute back to prove this, but I'm not sure how to get the derivatives. I think it's the z=f(u,v) that has me lost