Question

. For the function f(x, y) = xye^x−y , at the point (2, 2) (a) find...

. For the function f(x, y) = xye^x−y , at the point (2, 2)

(a) find the gradient.

(b) find the directional derivative in the direction of the vector 3i − j.

(c) in the direction of which unit vector is the rate of increase maximum? What is the maximum rate of increase?

(d) in the direction of which unit vector(s) is the directional derivative zero?

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