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  1. mathematics
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  3. let f(x, y) = − cos(x + y2 ) and let a be th

Let f(x, y) = − cos(x + y2 ) and let a be the point a...

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Basic Math

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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