For the function f(x,y ) = X" e 2 3xy find f. and f, y'O D. of of ax = - 12y sin ( - 6xy2 -y) cos ( - 6xy2 -y) ; ay =2 sin (- 6xy2 -y) cos ( - 6xy2 -y)Find the partial derivative of the function with respect to each of the independent variables. f(x,y) = sin 2( - 6xy2 - y) . . . U A. of ax = 2 sin (-6xy2 -y) cos (-6xy2 -y) ; ay = 2 sin ( -6xy2 -y) cos ( - 6xy2 - y) OB. of = - 12y sin (- 6xy2 -y) cos ( - 6xy2 - y) ; of dy = (-24xy - 2) sin ( - 6xy2 -y) cos ( - 6xy2 -y) O c. of of ax =2 sin (-6xy2 -y) cos (-6xy - y) ; av = (-24x - 2) sin (-6xy2 -y) cos (-6xy2 -y)Integrate the given function. 3 + 5e 5x dx 3x+ e 5xLet f(x,y) = 4xy 2 + x y. Find and ax 2 ' dy 2 ' dxdy ay ax