# Differential operator

typically linear operator defined in terms of differentiation of functions

In mathematics (particularly in differential calculus), a differential operator is an operator that takes a function as input, and returns a function as a result. Differential operators will differentiate the function in one or more variables. Probably the best known differential operator is differentiation itself, which is commonly written using ${\displaystyle {\tfrac {d}{dx}}}$ (in Leibniz's notation) and ${\displaystyle D}$ (in Euler's notation).[1]

## References

1. "List of Calculus and Analysis Symbols". Math Vault. 2020-05-11. Retrieved 2020-09-15.