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  2. Dictionary

    de·riv·a·tive
    [dəˈrivədiv]
    adjective
    derivative (adjective)
    1. (typically of an artist or work of art) imitative of the work of another person, and usually disapproved of for that reason:
      "an artist who is not in the slightest bit derivative"
      Opposite:
      • originating from, based on, or influenced by:
        "Darwin's work is derivative of the moral philosophers"
      • (of a financial product) having a value deriving from an underlying variable asset:
        "equity-based derivative products"
    noun
    derivative (noun) · derivatives (plural noun)
    1. something that is based on another source:
      "a derivative of the system was chosen for the Marine Corps’ V-22 tilt rotor aircraft"
      Similar:
      subsidiary product
      • (derivatives)
        an arrangement or instrument (such as a future, option, or warrant) whose value derives from and is dependent on the value of an underlying asset:
        "the derivatives market"
      • a word derived from another or from a root in the same or another language.
        Similar:
        derived word
      • a substance that is derived chemically from a specified compound:
        "crack is a highly addictive cocaine derivative"
        Similar:
        subsidiary product
      • mathematics
        an expression representing the rate of change of a function with respect to an independent variable.
    Origin
    late Middle English (in the adjective sense ‘having the power to draw off’, and in the noun sense ‘a word derived from another’): from French dérivatif, -ive, from Latin derivativus, from derivare (see derive).
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  3. People also ask
    What is a derivative in math?This is such an important limit and it arises in so many places that we give it a name. We call it a derivative. Here is the official definition of the derivative. 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. We often “read” f ′(x) f ′ ( x) as “ f prime of x ”.
    What is a directional derivative?A three-dimensional generalization of the derivative to an arbitrary direction is known as the directional derivative. In general, derivatives are mathematical objects which exist between smooth functions on manifolds. In this formalism, derivatives are usually assembled into " tangent maps ."
    What are financial derivatives?From the economic point of view, financial derivatives are cash flows that are conditioned stochastically and discounted to present value. The market risk inherent in the underlying asset is attached to the financial derivative through contractual agreements and hence can be traded separately. The underlying asset does not have to be acquired.
    What is a derivative in calculus?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.
    en.wikipedia.org
     
  4. Derivative Definition & Meaning - Merriam-Webster

     
  5. https://takelessons.com
    Ariel Skelley/DigitalVision/Getty Images When discussing creative writing, saying something is “derivative” implies that there wasn’t much thought put in, and the writer copied ideas from other works. In math, derivative equations aren’t equations that suggest a lack of imagination but rather help find the average slope between two points. Derivative math problems can…
  6. Derivatives: definition and basic rules | Khan Academy

  7. Derivatives: Types, Considerations, and Pros and Cons

  8. Introduction to Derivatives - Math is Fun

    WebLearn how to find the slope or rate of change of a function at a point using the limit definition of the derivative. See examples of derivatives of polynomial, trigonometric and exponential functions.

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  10. 3.2: The Derivative as a Function - Mathematics …

    WebDefinition: Derivative Function. Let f be a function. The derivative function, denoted by f ′, is the function whose domain consists of those values of x such that the following limit exists: f ′ (x) = lim h → 0f(x + h) − f(x) h. A …

  11. Derivative - Math.net

    WebLearn what a derivative is, how to calculate it using the limit definition, and how to apply the rules of differentiation. Also, find out when a derivative does not exist due to discontinuities, cusps, corners, or vertical tangents.

  12. 3.1: Defining the Derivative - Mathematics LibreTexts

  13. 1.4: The Derivative Function - Mathematics LibreTexts

  14. Derivative -- from Wolfram MathWorld

  15. Derivative | Definition & Facts | Britannica

    WebA derivative is the rate of change of a function with respect to a variable. Learn how to calculate derivatives using the slope formula, limits and rules of differentiation, and see how they are used in calculus and differential …

  16. Differentiation: definition and basic derivative rules | Khan Academy

  17. Calculus I - The Definition of the Derivative - Pauls Online Math …

  18. DERIVATIVE | definition in the Cambridge English Dictionary

  19. DERIVATIVE Definition & Meaning | Dictionary.com

  20. 3.4: The Derivative Function - Mathematics LibreTexts

  21. What Are Derivatives? – Forbes Advisor

  22. Derivative: Definition, Explanation, and Types - Business Insider

  23. DERIVATIVE | English meaning - Cambridge Dictionary

  24. Derivative (finance) - Wikipedia

  25. 2.2: Definition of the Derivative - Mathematics LibreTexts

  26. What are Derivatives? An Overview of the Market

  27. Derivative Calculator - Symbolab