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# let f(x,y)= y^x. (To avoid concerns about continuity, assume x0 and y0.) Find all four second partial derivatives of f.

let f(x,y)= y^x. (To avoid concerns about continuity, assume x>0 and y>0.) Find all four second partial derivatives of f.

f x, y y xf x y x ln yf y xy x 1f xx ln y y x ln y y x ln y f xy y x 1 x ln y 1f yy x x 1 y x 2f yx y x 1 x ln y 1 2