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SOLVE ASAP ASAPPPP WILL RATE RIGHT AWAY Find the directions in which the function increases and decreases most rapidly at P0. Then nd the derivatives

SOLVE ASAP ASAPPPP WILL RATE RIGHT AWAY

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Find the directions in which the function increases and decreases most rapidly at P0. Then nd the derivatives of the function in these directions. f(x.y)=x2+xy+y2. Po(2.3) V113 T 8 The direction in which the given function f(x,y) =x2 +xy + y2 increases most rapidly at P0(2,3) is u = i + [ - ]j. (Type exact answers, using radicals as needed.) 7 8 The direction in which the given function f(x,y) =x2 +xy + y2 decreases most rapidly at P0(2,3) is - u = i+ [ ]j. mm (Type exact answers, using radicals as needed.) The derivative of the given function f(x,y) =x2 + xy + y2 in the direction in which the function increases most rapidly at P0(2,3) is (Duf) (2,3) = E. (Type an exact answer, using radicals as needed.) The derivative of the given function f(x,y) =x2 + xy + y2 in the direction in which the function decreases most rapidly at P0(2,3) is (D _ul) (23) = |:. (Type an exact answer, using radicals as needed.)

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