Here are the main points that will be addressed in the videos. Please read these and think about them as you watch.
- We can tell where a function has maximum and minimum values by finding critical points of its derivative
- Critical points are where the derivative of the function is zero or undefined
- When a derivative of a function switches from positive to negative values, the function has a local maximum
- When a derivative of a function switches from negative to positive values, the function has a local maximum
- To identify global maxima and minima, we also need to consider the endpoints of the function on an interval