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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 · 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...
The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. Learn how we define the derivative using limits.
DERIVATIVE definition: 1. If something is derivative, it is not the result of new ideas, but has been developed from or…. Learn more.
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
Learn the various meanings and uses of the word derivative in linguistics, mathematics, chemistry, and finance. See synonyms, examples, etymology, and related phrases of derivative.
Learn what a derivative is in calculus, how to find it using the limit definition and derivative formulas, and how to interpret it as the rate of change of a function. Explore examples of derivatives of algebraic, logarithmic, exponential and trigonometric functions.
Quick Overview. The derivative is the main tool of Differential Calculus. Specifically, a derivative is a function... that tells us about rates of change, or... slopes of tangent lines. Its definition involves limits. The Derivative is a Function. Suppose we have a particular function: f(x) = 2x5 + 7x3 + 5 f ( x) = 2 x 5 + 7 x 3 + 5.
