Definition

1. Adjective:
   • Capable of being derived: Able to be obtained, deduced, or traced from a source or origin. It describes something that can be logically inferred or arrived at through reasoning or calculation from given information or principles.

Usage and Examples

• Adjective:
  • The formula is derivable from a few basic principles of physics. (It can be logically obtained from those principles.)
  • The theorem's proof is complex, but its conclusion is derivable from the axioms. (The conclusion can be deduced from the starting axioms.)
  • The company's financial troubles were derivable from its quarterly reports. (They could be inferred from the information in the reports.)

Advanced Usage

• "Logically derivable": Emphasizes that something follows necessarily from premises or data through logical reasoning.
  • If the premises are true, the conclusion is logically derivable.
• "Easily derivable": Indicates that the process of derivation is simple or straightforward.
  • The answer is easily derivable from the data provided in the chart.

Variants and Related Words

• Derive (verb): To obtain or receive from a source; to trace the origin or development of.
  • We can derive great satisfaction from helping others.
• Derivation (noun): The act or process of deriving; the source or origin from which something is derived.
  • The derivation of this word is from Latin.
• Derivative (adjective/noun): Originating from, based on, or influenced by something else; something that is derived.
  • His music is highly derivative of classical composers. / A financial derivative.

Synonyms

• Deductible: Capable of being deduced.
• Inferable: Capable of being inferred.
• Traceable: Capable of being traced to an origin.

Antonyms

• Underivable: Not capable of being derived.
• Unfounded: Having no foundation or basis in fact; not derived from anything.
• Original: Present or existing from the beginning; not derived from something else.

Adjective

1. capable of being derived