Thread: Directional Derivatives

Find equations of the tangent plane and normal line to the surface at the point (-8, 0, 0).
Tangent Plane: (make the coefficient of z equal to 1).
__________________________.
Normal line: ____,____
____ ,_____ , .


Thanks!

Originally Posted by jffyx

Find equations of the tangent plane and normal line to the surface at the point (-8, 0, 0).
Tangent Plane: (make the coefficient of z equal to 1).
__________________________.
Normal line: ____,____
____ ,_____ , .


Thanks!

Take

the tangent plane is given by:

the normal line is given by:

How do you find the normal vector to the plane?

Originally Posted by jffyx

How do you find the normal vector to the plane?

when a plane is written in the form:

the normal vector is given by:

remember, you want to write it in the form where c = 1