applications of derivatives flash cards
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Go Go Gryffindor
Applications of Derivatives
OPTIMIZATION
FLASH Cards!
Using the derivative to find the most efficient way to handle a situation.
Optimization
RELATED RATED
Problems that use an equation and it’s derivative 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
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