Find the tangent plane to the given surface of f(x, y)=6- 6/5 x-y at the point (5, -1, 1). Make sure tat your final answer for the plane is in simplified form.

Required equation of tangent plane is .

Step-by-step explanation:

Given surface function is,

To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

So that,

Substitute all these values in (1) we get,

Which is the required euation of tangent plane.