A tough curve question; (paraboloid - tangent)
z = x^2 + y^2/9 - 9
How do I find the equation for the tangent plane @ point (0, 3) ?
The part that confuses me with this, is that the given equation (it's an elliptic paraboloid) have three variables; not just two.
On which level is the plane? Does it matter? Can I just set z = 0 and work with x and y?
Here is a piece of my math scribbles;
http://i.imgur.com/nCctKKT.png
Am I heading the right direction? Would it be wrong to set Z to 0? Help is very much appreciated! <3

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The tangent can be found by the following: f(a,b) + f_x(a,b)*(x-a)+f_y(a,b)*(y-b)

You have learned about implicit differentiation right?

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