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Derivative
01
the rate at which a function changes with respect to its independent variable, representing the slope of the tangent line to the function's graph
02
(in literature) a word that is developed from another word or base
03
a financial instrument whose value is based on another security
04
a compound obtained from, or regarded as derived from, another compound
derivative
01
formed from an idea that is a slight or full copy of something else
Example
Finding the derivative of a distance function results in the instantaneous speed function, representing the speed of an object at a specific moment.
The derivative of a revenue function provides the marginal revenue, indicating the additional revenue gained from selling one more unit.
In economics, the elasticity of a demand function is determined by finding the derivative with respect to price.
Calculating the derivative of a position function yields the velocity function, describing the rate of change of position with respect to time.
The chain rule allows finding the derivative of composite functions, crucial for analyzing complex mathematical expressions.
