Given the derivative graph of f' find the relative min

The video tutorial explains how to identify local minima and maxima by analyzing the graph of the derivative function, F prime of X. It discusses the importance of slope changes, particularly from negative to positive, in determining local minima. The tutorial also covers how to find critical values by setting the first derivative to zero and examines specific examples to illustrate these concepts.

Explain why the x-value of -5 is not considered a local minimum.

Discuss the behavior of the derivative graph around the x-value of 5 and its implications for relative extrema.