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.
- Succeeds
- Successes
- Sufficient
- Suitable Number
- Sum
- Summand
- Summatory Function
- Sum-Product Number
- Sum Rule
- Sup
- Characteristic (Partial Differential Equation)
- Characteristic Polynomial
- Characteristic (Real Number)
- Character (Multiplicative)
- Character (Number Theory)
- Character Table
- Charlier's Check
- Chasles-Cayley-Brill Formula
- Chasles's Contact Theorem
- Chasles's Polars Theorem
- Chasles's Theorem
- Chebyshev Approximation Formula
- Chebyshev Constants
- Chebyshev Deviation
- Chebyshev Differential Equation