Derivation

Derivation refers to the process of obtaining or developing something from a source or origin. It encompasses the tracing of something's development from its initial state or the act of obtaining something, such as a word or a formula, through logical steps or reasoning. It can also signify the source or origin from which something is derived. Derivation emphasizes the connection between the end product and its foundational elements or principles. This can be seen in fields ranging from linguistics to mathematics to the arts, where understanding the Derivation of a concept or object provides crucial insight into its nature and significance.

Derivation meaning with examples

• The etymological Derivation of the word 'democracy' can be traced back to ancient Greek words 'demos,' meaning people, and 'kratos,' meaning power or rule, highlighting its original connotation of popular sovereignty and citizen participation.
• In mathematics, the Derivation of a formula for calculating the area of a circle starts from fundamental geometric principles and uses calculus to progressively arrive at the familiar equation A = πr².
• The artist explained that the abstract sculpture's Derivation came from their childhood memories of playing in a forest, using organic shapes and earthy colors to evoke those feelings of wonder and discovery.
• The environmental impact assessment included a detailed Derivation of the potential pollution levels based on the proposed industrial processes, providing stakeholders with a clear understanding of the environmental consequences.