noun
- A function whose derivative is a given function; the inverse operation of differentiation in calculus.
Usage: mathematics; plural form of antiderivative
Examples
- The antiderivatives of f(x) = 2x are all functions of the form x² + C, where C is any constant.
- Finding antiderivatives is a fundamental skill in calculus courses.
- The set of all antiderivatives of a function differs only by a constant term.
- Students learn to compute antiderivatives using integration techniques.
- The antiderivatives of polynomial functions can be found using the power rule.
- In physics, antiderivatives help us find position from velocity functions.