< / Δ x, at x = a, as the increment, Δ x, tends to 0. Symbols: df(x)/d x, f′(x), Df(x)the derivative of x n is nx n–1
early 15c. (adj.); mid-15c. (n.), from Middle French dérivatif (15c.), from Late Latin derivat-, past participle stem of Latin derivare (see derive). Mathematical sense is from 1670s.
- Something obtained or produced by modification of something else.
- A chemical compound that may be produced from another compound of similar structure in one or more steps.
- Resulting from, characterized by, or employing derivation.
- In calculus, the slope of the tangent line to a curve at a particular point on the curve. Since a curve represents a function, its derivative can also be thought of as the rate of change of the corresponding function at the given point. Derivatives are computed using differentiation.