Differential operator

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]

Related pages

• Divergence
• Laplace operator