this is vector calculus

(d) Select the correct answer about D(g . f)(u, v) O D(g . D)(u, v) is a 1 x 2 matrix. O D(g . M)(u, v) is a 2 x 3 matrix. O D(g . D)(u, v) is a real-valued function of u and v. O D(g . f)(u, v) is a 3 x 2 matrix. O D(g . M)(u, v) is a 2 x 2 matrix. (e) Select the correct answer about D(f . g)(x, y, z) O D(f . g)(x, y, z) is a 2 x 1 matrix. O D(f . g) (x, y, z) is a 3 x 2 matrix. OD(S . g) (x, y, z) is not defined. O D(f . g) (x, y, z) is a 2 x 2 matrix. O D(f . g)(x, y, z) is a real-valued function of x and y