The first derivative of a function is a single derivative of the function, denoted . The term "first derivative" is commonly used instead of just "derivative" to distinguish it from higher-order derivatives. For example, specifying the order of the derivative distinguishes between the first derivative test and second derivative test.

# First Derivative

## See also

Derivative, First Derivative Test## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "First Derivative."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/FirstDerivative.html