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Go Go Gryffindor
Applications of Derivatives
OPTIMIZATION
FLASH Cards!
Using an equation’s derivative to find a local/absolute maximum or minimum that identifies the ideal or best case scenario.
Optimization
RELATED RATED
Problems that use an equation and it’s derivative with respect to time to describe the way an object/ area changes over time and to predict how the object/area will behave.
Related Rates
THE EXTREME VALUE THEOREM
If a function f is continuous on [a,b] then it will have an absolute max and min.
The Extreme Value Theorem
LOCAL EXTRMA
The highest/ lowest point in a neighborhood of a graph, points where a graph changes from increasing to decreasing or decreasing to increasing. Local Extrema cannot be asymptotes
Local Extrema
ABSOLUTE EXTRMA
The highest/lowest point on a graph in a given interval. Absolute Extrema cannot be asymptotes.
Absolute Extrema
POINTS OF INFLECTION
Points where the concavity changes from positive to negative.
Points of Inflection