Learn how to find relative extrema and justify using first derivative test

The video tutorial covers identifying relative maxima and minima of a polynomial function. It begins by discussing the continuity of the function and finding critical values through derivatives. The first derivative test is used to determine whether these critical points are maxima or minima by analyzing slope changes. The tutorial explains how to justify these findings and identifies intervals where the function is increasing or decreasing.

How do you justify the local maximum and minimum found in the function?

What conclusions can be drawn about the local maximum and minimum from the first derivative test?

When is the function increasing and decreasing based on the analysis provided?