Well to find the critical points of the function who take the first derivative of the function you were given, lets call it in this case, and you solve the derivative by solving it when it is equal to 0. Once you have the critical points of the function you can find the maxima and minima by plugging it into the original function also also dont forget to test the end points If your given a certain integral, also If I recall to determine if the function is increasing, I might be mistaking concavity for this but simple make a number line with the critical points and simply plug some number small and bigger than each critical point to see if its increasing or decreasing on some interval as x increases.