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In mathematics, a rate is the quotient of two quantities, often represented as a fraction. [1] If the divisor (or fraction denominator) in the rate is equal to one expressed as a single unit, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the dividend (the fraction numerator) of the rate expresses the corresponding rate of change ...
Download as PDF; Printable version ... described as the instantaneous rate of change, ... the introduction and study of many similar objects in algebra and ...
The use of infinitesimals to compute rates of change was developed significantly by Bhāskara II (1114–1185); indeed, it has been argued [6] that many of the key notions of differential calculus can be found in his work, such as "Rolle's theorem". [7]
Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. Rate of change may refer to: Rate of change (mathematics) ...
Construct an equation relating the quantities whose rates of change are known to the quantity whose rate of change is to be found. Differentiate both sides of the equation with respect to time (or other rate of change). Often, the chain rule is employed at this step. Substitute the known rates of change and the known quantities into the equation.
This page was last edited on 22 February 2019, at 00:58 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
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Change in Tandem 2 1.2 Rates of Change 2 1.3 Rates of Change in Linear and Quadratic Functions 2 1.4 Polynomial Functions and Rates of Change 2 1.5 Polynomial Functions and Complex Zeros 2 1.6 Polynomial Functions and End Behavior 1 1.7 Rational Functions and End Behavior 2 1.8 Rational Functions and Zeros 1 1.9
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