Question

find the function whose graph is the tangent plane to the graph of f(x,y)=x^3-2x^2y+6x-y^2 at the point (1,1)

Answer 1

You need to find the derivative of the function, and then insert the point to give the gradient at that point. Then insert the point and the gradient into y = mx + c, and solve for c. Then subst m and c back in, and the answer will be the function.