Hi, we are supposed to find dz/dx and dz/dy of the equation below using these:
The equation is
The Attempt at a Solution
I'm pretty confident I can figure out the question if someone can just help me figure out what F is in the 2 equations. I know that F usually refers to the antiderivative of a function, but in this case, there are variables and stuff on either side of the equation, so I don't even know how to find said function. It seems very similar to implicit differentiation, but the opposite. And I've never heard of implicit anti-differentiation.
Just in case it could be useful, I found dz/dx and dz/dy via normal implicit differentiation:
Thanks in advance for your help