Extreme Value Theorem
If the function
is continuous over the closed interval
, then there is at least one maximum value (green) and one minimum value (red) of
in that interval.
Contributed by:
Jacqueline Wandzura
Additional contributions by:
Stephen Wandzura
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Snapshot 3: If a function is monotone increasing or decreasing in a given interval, then the endpoints must be the extrema.
Extreme Value Theorem
(
Wolfram
MathWorld
)
Maximum
(
Wolfram
MathWorld
)
Minimum
(
Wolfram
MathWorld
)
"
Extreme Value Theorem
" from
The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ExtremeValueTheorem/
Contributed by:
Jacqueline Wandzura
Additional contributions by:
Stephen Wandzura
Calculus
High School Calculus
Integral Mean Value Theorem
Visualizing Square Root and Absolute Value
The Fundamental Theorem of Calculus
The Integral Mean Value Theorem: An Illustration
Fermat's Theorem on Stationary Points
Family of Curves, Tangents, and Intuition
Exponential Decay
Tangent to a Curve
Area Under a Curve
Newton's Law of Cooling
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