Find the partial derivative of the function with respect to each of the independent variables. f(x,y) = In 9 VI VI O A. = - In dy = In X of 6 of 9 O B. = = X of 9 of 6 O C. E ax X of 9v6 of 6y O D. ax = - In 10 ay = In 9 X XLet f(x,y) = 2x y + 4xy . Find ax2 ' a 2 ' axdy' and ayax 22 2 OxFind all the second partial derivatives. X Z= x+y d'z d'z X oz oz x- y O A. 2 2 (x + y 3 (x + y)3 ' ayax axdy ( x + y)3 z 2y z 2x 2 z z y - X O B. = - = 2 = ax (x + y) ay ( x + y)' dy ax axdy ( x + y)3 2y 2x x - y O c. 2 = ax ( x + y)3 (x+y)3 ' dy 2 (x + y) 3 ayax axdy ( x + y ) 3 2y 2 z 2x 2 z x - y OD. = (x + v)3 2 2 (x + v)3 ' ayax - axdy ( x + v) 3The volume V of a right circular cylinder is given by V = It / h, where r is the radius and h is the height. If h is held fixed at h = 8 inches, find the rate of change of V with respect to r when r = 6 inches. . . . The rate is in2. (Type an exact answer in terms of It.)