Thread: gradient

Consider the surface .
A. Find the unit normal vector to the surface at the point with positive first coordinate.

Originally Posted by wvlilgurl

Consider the surface .
A. Find the unit normal vector to the surface at the point with positive first coordinate.

z = f(x, y) = 32/(xy).

Evaluate and .

A normal vector is .

Substitute x = 4 and y = 4. Get a unit vector from this in the usual way.