In this paper, we propose an algorithm for the object function used in optimal control or optimal design that sets the object function as simultaneous and then calculates the optimal value according to the Newton method. The proposed method calculates the optimal value simply using two inputs; object function and initial value, using the DDA(Direct Derivative Algorithm) which is a programmed ordinary derivative function that does not inquire the calculation of derivative function nor any inputs. And we have verified the usefulness of the algorithm for the optimal control and optimal dosing.