find the derivative dy, dx for y equals the quotient of the quantity x squared minus 2 times x and the quantity x cubed plus 3.. dy dx equals the quotient of the quantity 2 times x minus 2, and 3 times x squared. dy dx equals the quotient of the quantity x cubed plus 3 times the quantity 2 times x minus 2 minus the product of x squared minus 2x and 3 times x squared, and the square of the quantity x cubed plus 3. dy dx equals the quotient of the quantity x cubed plus 3 times the quantity 2 times x minus 2 plus the product of x squared minus 2x and 3 times x squared, and the square of the quantity x cubed plus 3. dy dx equals the quotient of the quantity x squared minus 2 times x times the quantity 3 times x squared 2 minus the product of the quantity x cubed plus 3 times the quantity 2 times x minus 2, and the square of the quantity x cubed plus 3.