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16. a. Find the directional derivative of f (x, y) = xy at P0 = (1,...

16.

a. Find the directional derivative of f (x, y) = xy at P0 = (1, 2) in the direction of v = 〈3, 4〉.

b. Find the equation of the tangent plane to the level surface xy2 + y3z4 = 2 at the point (1, 1, 1).

c. Determine all critical points of the function f(x,y)=y3 +3x2y−6x2 −6y2 +2.

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