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In general, the slope of the tangent to the graph Y=f(X) at point P(a,f(a)) is this:
There are two types of rates of change on a given graph:
AROC stands for the average rate of change between two points on a graph
IROC stands for the rate of change at a specific point on a graph
The derivative of a function is an equation used to find the slope of the function at any given point.
Non-differentiable at the point of discontinuity
The limit exists and is differentiable
Max and Min values are also called extreme values or "absolute extrema"
1. Draw and label a diagram, If possible
2. Define variable & identity domain (restrictions)
3. Determine a function in one variable that represents the quantity being optimized
4. Differentiate to locate extrema values and compare endpoints (where applicable)