1. The problem statement, all variables and given/known data
Let f(x,y) = 5y^(2)-(2x^(2)+xy)
Then an implicit equation for the tangent plane to the graph of f at the point (0,-2) is
3. The attempt at a solution
I understand that I should take the derivative to find the gradient vector. For the derivative, I get <-4x-y,10y-x>.
I plug in (O,-2) and get <2,-20>.
My question is, what should I do to put this into implicit form??