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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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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.
The meaning of DERIVATIVE is a word formed from another word or base : a word formed by derivation. How to use derivative in a sentence.
Learn how we define the derivative using limits. Learn about a bunch of very useful rules (like the power, product, and quotient rules) that help us find derivatives quickly. The derivative of a function describes the function's instantaneous rate of change at a certain point.
May 31, 2024 · Derivatives are financial contracts, set between two or more parties, that derive their value from an underlying asset, group of assets, or benchmark. A derivative can trade on an exchange...
DERIVATIVE definition: 1. If something is derivative, it is not the result of new ideas, but has been developed from or…. Learn more.
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
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Nov 16, 2022 · Defintion of the Derivative. The derivative of f (x) f ( x) with respect to x is the function f ′(x) f ′ ( x) and is defined as, f ′(x) = lim h→0 f (x+h) −f (x) h (2) (2) f ′ ( x) = lim h → 0. f ( x + h) − f ( x) h. Note that we replaced all the a ’s in (1) (1) with x ’s to acknowledge the fact that the derivative is really a function as well.
May 31, 2024 · derivative, in mathematics, the rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.
The big idea of differential calculus is the concept of the derivative, which essentially gives us the direction, or rate of change, of a function at any of its points. Learn all about derivatives and how to find them here.
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.
