// Workers AI · dad joke modeWhat did the derivative say? I'm derived to be different.

The derivative of a function is the rate of change of the function's output relative to its input value.

Derivative may also refer to:

In mathematics and economics

Brzozowski derivative in the theory of formal languages
Covariant derivative, a way of specifying a derivative along tangent vectors of a manifold with a connection.
Exterior derivative, an extension of the concept of the differential of a function to differential forms of higher degree.
Formal derivative, an operation on elements of a polynomial ring which mimics the form of the derivative from calculus
Fréchet derivative, a derivative defined on normed spaces.
Gateaux derivative, a generalization of the concept of directional derivative in differential calculus.
Lie derivative, the change of a tensor field (including scalar functions, vector fields and one-forms), along the flow defined by another vector field.
Radon–Nikodym derivative in measure theory
Derivative (set theory), a concept applicable to normal functions
Derivative (graph theory), an alternative term for a line graph
Derivative (finance), a contract whose value is derived from that of other quantities
Derivative suit or derivative action, a type of lawsuit filed by shareholders of a corporation

Derivative (chemistry), a type of compound which is a product of the process of derivatization
Derivative (linguistics), the process of forming a new word on the basis of an existing word, e.g. happiness and unhappy from happy
Aeroderivative gas turbine, a mechanical drive gas turbine derived from an aero engine gas turbine

Derivative work, in copyright law, a modification of an original work
- Fork (software development)
Derivative (film), a 2005 Turkish film
Derivative Inc., a spin-off of Side Effects Software, creators of the software Houdini
Derivative, used to describe a word formed from another word