Question

Please help!
Let S be the surface parametrized by (u,v) = (u cos v, u sin v, u^2 + v^2).
(a) Find a vector normal to S at the the point (1, 0) on the surface.
(b) Find an equation for the plane tangent to S at the the point (1, 0) on the
surface.

Answer 1

I find derivative wrt u then wrt v then do a cross product??