Question

find the equation of the plane tangent to the sphere
(x-1)^2 + (y-1)^2+ (z-1)^2= 49 at A ( 7, -1, 4)

Answer 1

...?

Answer 2

can you differentiate the equation?

Answer 3

...

Answer 4

start by finding the gradient of the function. The gradient of a function is orthogonal to the surface, just as the normal vector of a plane is orthogonal to the plane.


then solve for the x, y and z components at the point (7,-1,4), then your tangent plane would be given by: