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Applications of derivatives
Increasing/Decreasing
	Increasing: When the slope of the tangent line is positive. 	Decreasing: When the slope of the tangent line is negative.
Points of Inflection
	A point when the value of the second derivative changes signs
Extreme Value Theorem
	If a function is continuous on the interval [a,b] there exist numbers c and d in [a,b] such that:  					or 			       f(c) ≤ f(x) ≤ f(d)
Position, Velocity, Acceleration
If you are given the position function then you can find the velocity function by taking the first derivative and the acceleration by taking the second derivative.
Characteristics of Graphs
	Using the first and second derivative of graphs, you can find characteristics of the original graph such as when it is increasing/decreasing, local maxs/mins, concavity intervals, and points of inflection.

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Applications of derivatives flash cards