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.
- Geodesic Curvature
- Geodesic Dome
- Geodesic Equation
- Geodesic Flow
- Geodesic Triangle
- Geodetic Latitude
- Geographic Latitude
- Geometric Construction
- Geometric Distribution
- Geometric Mean
- Geometric Mean Index
- Geometric Probability Constants
- Geometric Problems of Antiquity
- Geometric Progression
- Geometric Sequence
- Geometric Series
- Geometrization Conjecture
- Geometrography
- Geometry
- Gergonne Line
- Gergonne Point
- Germain Primes
- Gerono Lemniscate
- Gersgorin Circle Theorem
- G-Function