Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. f(x,y) = x² + xy + y², Po(-1,4) ... The direction in which the given function f(x,y) = x² + xy + y² increases most rapidly at Po(-1,4) is u=i+i. (Type exact answers, using radicals as needed.)

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