The following table gives values of the differentiable function y=f(x).

x: 0 1 2 3 4 5 6 7 8 9 10

y: 2 1 -1 2 5 3 -2 1 4 7 10

For the first part of the question, I found the critical points and identified them as local max/min. The answers were: (2,min),(4,max),(6,min).

The part I'm having trouble with is as follows:

Now assume that the table gives values of the continuous function y=f'(x) (instead of f(x)). Estimate and classify critical points of the function f'(x).

How would my answers change? How would I determine what the critical points were for the derivative and whether they are max/min?

Thanks!