Question: (a) If u = a, b is a unit vector and f has continuous second partial derivatives, show that Du(Duf ) = a2 2f x2

(a) If u = a, b is a unit vector and f has continuous second partial derivatives, show that Du(Duf ) = a2 2f x2 + 2ab 2f xy + b2 2f y2 . (b) Find the second directional derivative of f (x, y) = xe2y in the direction of v = 4, 6

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