Question: 8. Let / (z. y, 2) = ery + 4zy. (a) Find the directional derivative of / (z, y, 2) at the point Po(1, 1,0)

8. Let / (z. y, 2) = ery + 4zy. (a)

8. Let / (z. y, 2) = ery + 4zy. (a) Find the directional derivative of / (z, y, 2) at the point Po(1, 1,0) in the direction of u = i-2j + 5k. In which direction does f decrease most rapidly at Po? What is this rate of decrease? (b) Find the tangent plane to the surface S : / (x, y, 2) = 9 at the point P (0, 1, 2)

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