derivation

1. (genealogy, linguistics) The act of tracing origin or descent; an instance thereof (for example, an etymology).Examples: "the derivation of a word from an Indo-European root"countableuncountable

2. (grammar) Forming a new word by changing the base of another word or by adding affixes to it.countableuncountable

3. The process of deriving one thing from another, especially in logic; a deduction.countableuncountable

4. (mathematics, calculus) The process of application of the derivative operator to a function, yielding another function called the derived function of the first.countableuncountable

5. (mathematics, differential algebra) An algebraic generalization of the derivative operator (from its natural setting in the ring of real-valued functions) to a general associative algebra over a field. Formally, (given an algebra A over a field K) a K-linear endomorphism that satisfies Leibnitz's Law.countableuncountable

6. (mathematics, differential algebra) An algebraic generalization of the derivative operator (from its natural setting in the ring of real-valued functions) to a general associative algebra over a field. Formally, (given an algebra A over a field K) a K-linear endomorphism that satisfies Leibnitz's Law.countableuncountable