Assignment 5

1. Create an objective function of your own: y = f(x). Make it a cubic function.

1. Obtain f'(x) and f"(x).
   
2. Use first-order necessary condition for an extremum to obtain the critical values. [Note: You may have to play around with the cofficients in the objective function to obtain real solutions. Be patient.]
   
3. Use the second-order sufficient condition to check whether the each of the critical values yields a maximum or a minimum.
   
4. Compute the stationary value of the function.
   
5. Plot the objective function and verify your answers about the extrema.