Natural Exponential Function
GPTKB entity
Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical Function
|
| gptkbp:alsoKnownAs |
gptkb:Exponential_Function
|
| gptkbp:alwaysPositive |
True
|
| gptkbp:application |
gptkb:Differential_Equations
Statistics Probability Theory Population Growth Radioactive Decay Compound Interest |
| gptkbp:asymptote |
y=0
|
| gptkbp:basisFor |
Euler's Number
|
| gptkbp:codomain |
gptkb:Positive_Real_Numbers
|
| gptkbp:continuity |
Yes
|
| gptkbp:differentiable |
Yes
|
| gptkbp:domain |
All Real Numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
Natural Exponential Function
|
| gptkbp:integration |
exp(x) + C
|
| gptkbp:inverseFunction |
Natural Logarithm
|
| gptkbp:monotonic |
Increasing
|
| gptkbp:neverZero |
True
|
| gptkbp:notableDerivative |
exp(x)
|
| gptkbp:property |
exp(-x) = 1/exp(x)
exp(0) = 1 exp(x+y) = exp(x) * exp(y) |
| gptkbp:shape |
gptkb:Exponential_Curve
|
| gptkbp:symbol |
exp(x)
|
| gptkbp:TaylorSeries |
sum_{n=0}^∞ x^n / n!
|
| gptkbp:valuation |
2.718281828...
|
| gptkbp:valueAtOne |
e
|
| gptkbp:valueAtZero |
1
|
| gptkbp:bfsParent |
gptkb:Exponential_Function
|
| gptkbp:bfsLayer |
7
|