Calculate all four second-order partial derivatives of f(x, y) = (9x + 10y) 2- f 22 f Assume the variables are restricted and check that ax dy ay Ox to a domain on which the function is defined. 22 f 22 f ax dy 22 f ay Ox 22 f ay2Calculate all four second-order partial derivatives of f(x, y) = 6x y + 9xy' and check that fry = fyr. Assume the variables are restricted to a domain on which the function is defined. fxx = fxy = fyx = fyy =Calculate all four second-order partial derivatives of f (x, y) = e2xy and check that fry = fux. Assume the variables are restricted to a domain on which the function is defined. fxx = fxy = fyx = fyy =Calculate all four second-order partial derivatives of f(x, y) = (8x + 9y)es and check that fry = fyr. Assume the variables are restricted to a domain on which the function is defined. fxx fxy = fyx = fyy =Calculate all four second-order partial derivatives of f (x, y) = 31xey and check that fry = fyr. Assume the variables are restricted to a domain on which the function is defined. fxx = fxy = fyx = fyy =Calculate all four second-order partial derivatives of f(x, y) = 8 sin and check that fry = fyx. Assume the variables are restricted to a domain on which the function is defined. fxx fxy = fyx fyy =Calculate all four second-order partial derivatives of f(x, y) = 6x y' -6xy3 + 8x2 + 12 and check that fry = fyr. Assume the variables are restricted to a domain on which the function is defined. fxx = fxy fyx= fyyCalculate all four second-order partial derivatives of f(x, y) = cos(x2 + y") and check that fry = fyx- Assume the variables are restricted to a domain on which the function is defined. fxx fry fyx = fyy=