line tangent to surface at point

[jwpaine]

Need a push in the right direction....

The Line {x = 2 + 2t, y = 1, z = -2 + 3t} is tangent to the surface z = f(x,y) at the point (a,b,c). Find f_x(a,b)

Do I just need to compute the partial derivative and plug in that point?

 

[Deleted member 4993]

Need a push in the right direction....

The Line {x = 2 + 2t, y = 1, z = -2 + 3t} is tangent to the surface z = f(x,y) at the point (a,b,c). Find f_x(a,b)

Do I just need to compute the partial derivative and plug in that point?

What is the equation of gradient of the surface?

What is the relationship between tangent line and gradient of the surface.