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- Dictionaryderivative/dɪˈrɪvətɪv/
adjective
- 1. imitative of the work of another artist, writer, etc., and usually disapproved of for that reason: "an artist who is not in the slightest bit derivative"
- 2. (of a product) having a value deriving from an underlying variable asset: "equity-based derivative products"
noun
- 1. something which is based on another source: "the aircraft is a derivative of the Falcon 20G" Similar
- 2. an arrangement or product (such as a future, option, or warrant) whose value derives from and is dependent on the value of an underlying asset, such as a commodity, currency, or security: "the derivatives market"
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May 31, 2024 · Learn what derivatives are, how they work, and why they are used in finance. Find out the advantages and disadvantages of different types of derivatives, such as futures, options, swaps, and forwards.
Sep 7, 2022 · Definition: Derivative. Let \(f(x)\) be a function defined in an open interval containing \(a\). The derivative of the function \(f(x)\) at \(a\), denoted by \(f′(a)\), is defined by \[f′(a)=\lim_{x→a}\frac{f(x)−f(a)}{x−a} \label{der1} \] provided this limit exists. Alternatively, we may also define the derivative of \(f(x)\) at \(a\) as
e. The derivative is a fundamental tool of calculus that quantifies the sensitivity of change of a function 's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.
Nov 20, 2021 · We now define the “derivative” explicitly, based on the limiting slope ideas of the previous section. Then we see how to compute some simple derivatives.
Learn how to define the derivative of a function as the instantaneous rate of change or the slope of the tangent line. Explore the power, product, quotient, and chain rules for finding derivatives of various functions.
Learn the meaning of derivative as an adjective, noun, and mathematical term. Find out how to use derivative in different contexts, such as language, finance, and calculus.
Learn how to find the slope or rate of change of a function at a point using the derivative formula and examples. Explore the derivative rules, notation and plotter for different functions.
