Need math help

[Archbob]

Okay I need some help on some math, here's the problem:
Find the slope of the tangent to the curve 36z=4x^2+9y^2 and the plane x=3 at the point (3,2,2)

I can get everything else, but does anyone know how to get the direction numbers?

 

[Blitz79]

Cool stuff. We're not onto that yet. What level are you working at? I assume this is just three-dimensional geometry right?

 

[Archbob]

Its the middle of Calc III actually,with partial dervitives, the direction number just plane confuse me.