calc m2

Clairaut’s Theorem

Downward/Upward normal of surface

Equation of a Tangent Plane

Linear Approximation

(total) differential

Directional Derivative

The directional derivative obtains its max value..

when the angle of separation = 0

The gradient vector points to..

the direction where the surface reaches its max rate of change; orthogonal to the level surface.

the maximum rate of change

Critical Point

you can only prove the __ of a limit by _

nonexistence, checking multiple (>/= 3)

incompressible

irrotational/conservative ; possible potential function