Copy of Given a function, trace the first and second derivative

This program will trace the first and second derivative for a pre defined function.
When is the first derivative equal to zero?[br][br]When is the second derivative equal to zero?[br][br]If the first derivative is at a maximum value then what is the value of the second derivative and why?
– Mrs. K. Coulthard, AC

Information: Copy of Given a function, trace the first and second derivative