Multivariable Calculus Partial Derivatives Test Review

Is fxy at P positive or negative?

Given f(x, y, z) = x³⁰y²⁶z, what is f_xyzyzzyyxx?

Evaluate the limit:

A Pringle^TM is an example of a(n) _____

I am ready for the test on Friday!  True or False.

∇f(x, y), where f(x, y) = 10x⁵y is

The "D" in the multivariable second derivative test is:

A gradient points in what direction?

The directional derivative of z = (x^2)(e^-y) at the point (-1,0) in the direction of (4,-3) is

Clairaut's Theorem states that _____

Which equation below gives the graph of this quadric surface?

A gradient is a(n) _____

If f_xxf_yy - (f_xy)² < 0, this means . . .

Given f(x,y) below and x = sin(2t) and y = cos t, find dz/dt when t = 0.  

A gradient at a point will behave how relative to a level curve?

Find the equation of the tangent plane to f(x,y) = (e^x)(Cos y) at the point (0,0,1).

The "Lagrange multiplier" method is

See question...