Derivative
Noun
US
/dɪˈrɪvətɪv/
UK
/dɪˈrɪvətɪv/
US
/dɪˈrɪvətɪv/
UK
/dɪˈrɪvətɪv/
A mathematical function showing the rate at which a quantity changes at any point.
The derivative of position with respect to time is velocity, showing how position changes.
In business, derivatives help analysts determine how profit changes with production level.
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Derivatives revolutionized mathematics and physics by quantifying change. Newton and Leibniz independently developed calculus around derivatives, enabling precise analysis of motion, rates of change, and optimization problems.
Fundamental in physics, engineering, optimization, and economics.
Finance professionals use derivatives to analyze how stock prices change and manage investment risks.