(a) If u = (a, b) is a unit vector and f has continuous second partial derivatives,...

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(a) If u = (a, b) is a unit vector and f has continuous second partial derivatives, show that Du2 f = fxxa2 + 2fxyab + fyyb2
(b) Find the second directional derivative of f (x, y) = xe2y in the direction of v = (4, 6).

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