formal 3K

Derivative

UK //dɪˈrɪv.ə.tɪv// US //dɪˈrɪv.ə.tɪv// Pronunciation

Definition

A mathematical function that represents the rate of change of another function.

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In simple words: Something that is based on or comes from something else.

Examples

• In calculus, the derivative measures how a function changes as its input changes.
• The derivative of a straight line is constant, indicating a steady rate of change.
• In finance, a derivative is a contract whose value depends on the price of an underlying asset.
• Many modern films are derivatives of classic literature, lacking originality.
• The derivative rule helps us find the slope of a function at any point.

Usage notes

Used primarily in academic or technical contexts, such as math, finance, or philosophy. Avoid in casual conversation.

Grammar pattern

standalone noun

Memory hint

Think of 'derivative' as 'derive it,' like taking something from something else.

Collocations

• first derivative
• second derivative
• time derivative
• derivative product
• financial derivative

Synonyms

• based on
• secondary
• unoriginal
• offshoot
• adaptation

Common mistakes

• Confused with 'derivative' in slang, meaning unoriginal or copied.
• Using 'derivative' incorrectly as a verb.
• Mispronouncing 'derivative' due to its complexity.