I need to write MatLab code to solve these two questions. If anyone can show me how to write this code it would help me out a lot.

4. Use the first derivative functions to estimate the dy/dx value for y=sin(x) at x=pi/3. Use a step size (delta x) of pi/10. Compute the magnitude of the error for each approximation (backward, forward, centered).

5. Repeat problem 4 using a step size (delta x) of pi/20. What effect does halving the step size have on each of the errors.