# Category:Exponential Function

This category contains results about the exponential function.
Definitions specific to this category can be found in Definitions/Exponential Function.

The exponential function can be defined as the unique solution $y = f \paren z$ to the first order ODE:

$\dfrac {\d y} {\d z} = y$

satisfying the initial condition $f \paren 0 = 1$.

That is, the defining property of $\exp$ is that it is its own derivative.

## Subcategories

This category has the following 20 subcategories, out of 20 total.