Exponential function
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 Exponential function on the complex plane. The transition from dark to light colors shows that the magnitude of the exponential function is increasing to the right. The periodic horizontal bands indicate that the exponential function is periodic in the imaginary part of its argument. |
In mathematics, the exponential function is the function ex, where e is the number (approximately 2.718281828) such that the function ex is its own derivative. The exponential function is used to model a relationship in which a constant change in the independent variable gives the same proportional change (i.e. percentage increase or decrease) in the dependent variable. The function is often written as exp(x), especially when it is impractical to write the independent variable as a superscript. The exponential function is widely used in physics, chemistry and mathematics.
- See also: Wikipedia
- Related: e (mathematical constant), Exponential decay, Exponential field, Exponential growth, Exponentiation, Carlitz exponential, Tetration
| Derivative of exponential function interactive gra... Derivative of exponential function interactive graph sympl.org/.../derivative-exponential-function - Web |
| Taylor Series Expansions of Exponential Functions Taylor Series Expansions of Exponential Functions www.efunda.com/math/taylor_series/exponential.cfm - Web |
| Complex exponential interactive graphic Complex exponential interactive graphic www-math.mit.edu/daimp/ComplexExponential.html - Web |
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| A relatively rigorous development of the exponenti... A relatively rigorous development of the exponential function www.willnichols.me.uk/a/exp - Web |
