Stationary Points

Consider the curve shown above. Find ds/dt (the gradient function of s) and enter the function into the input bar.

Solve and find the coordinates of the points at which this occurs.

What feature of is indicated by these points?

What feature of the graph of allows you to say if these points are a maximum or a minimum?

The turning points above are sometimes reffered to as local maximum and minimum points. The global maximum and minimum points are at the end points of the graph and so we would need to look what happens to the graph as t approaches . If we restricted the domain of the graph above to find the actual maximum and minimum values of the function.