Let f(x, y) = − cos(x + y2) and let a be the point a = ( π/2,0).
(a) Find the direction in which fincreases most quickly at the pointa.
(b) Find the directional derivativeDuf(a) of f ata in the direction u = (−5/13 , 12/13).
(c) Use Taylor’s formula to calculate a quadratic approximationto f at a.
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