Decreasing Function
A function 
decreases on an Interval 
if 
for all 
, where 
. Conversely, a function increases on an Interval if 
for all with .
If the Derivative 
of a Continuous Function satisfies 
on an Open Interval 
,then is decreasing on . However, a function may decrease on an interval without having a derivative defined at allpoints. For example, the function 
is decreasing everywhere, including the origin 
, despite the fact that theDerivative is not defined at that point.
- Rook Reciprocity Theorem
- Rooks Problem
- Room Square
- Root
- Root Dragging Theorem
- Rooted Tree
- Root Linear Coefficient Theorem
- Root-Mean-Square
- Root of Unity
- Root (Radical)
- Root Test
- Root (Tree)
- Rosatti's Theorem
- Rose
- Rosenbrock Methods
- Rotation
- Rotation Formula
- Rotation Group
- Rotation Matrix
- Rotation Number
- Rotation Operator
- Roth's Removal Rule
- Roth's Theorem
- Rotkiewicz Theorem
- Rotoinversion