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Graph analysis is a simple idea to analyze how the graph is changing.
For today's class, we will learn about local extrema, meaning we will find out the local minimum and local maximum by
visually interpreting the graph of the derivative.
So, let's start with our simple graph, breaking down each objective.
As you can see in this graph, it has 5 critical points.
and to find the local maximum and local minimum we look above or below the x-axis.
Local max is when the derivative off is increasing then decreasing, meaning the f prime has changed from positive to negative.
If the derivive is negative then the slope is negative and graph is decreasing
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