Calculus Partial Derivatives Test Review

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

∇f(x, y), where f(x, y) = 10x⁵y is

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

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

Is f(x,y) at P positive or negative?

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

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

A gradient points in what direction?

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

A gradient is a(n) _____