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  2. Derivative work - Wikipedia

    en.wikipedia.org/wiki/Derivative_work

    The musical West Side Story, is a derivative work based on Shakespeare's Romeo and Juliet, because it uses numerous expressive elements from the earlier work. [42] However, Shakespeare's drama Romeo and Juliet is also a derivative work that draws heavily from Pyramus and Thisbe and other sources. Nevertheless, no legal rule prevents a ...

  3. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    For this reason, the derivative is sometimes called the slope of the function f. [48]: 61–63 Here is a particular example, the derivative of the squaring function at the input 3. Let f(x) = x 2 be the squaring function. The derivative f′(x) of a curve at a point is the slope of the line tangent to that curve at that point. This slope is ...

  4. Differential calculus - Wikipedia

    en.wikipedia.org/wiki/Differential_calculus

    Physics is particularly concerned with the way quantities change and develop over time, and the concept of the "time derivative" — the rate of change over time — is essential for the precise definition of several important concepts. In particular, the time derivatives of an object's position are significant in Newtonian physics:

  5. Derivative investments: What they are and how they work - AOL

    www.aol.com/finance/derivative-investments...

    The word derivative sounds fancy and perhaps a little intimidating. But the key thing to know about derivatives is that they are a financial contract whose value is derived from the value of ...

  6. Derivative - Wikipedia

    en.wikipedia.org/wiki/Derivative

    In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to 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.

  7. Differential (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Differential_(mathematics)

    For the important case of a finite dimension, any inner product space is a Hilbert space, any normed vector space is a Banach space and any topological vector space is complete. As a result, you can define a coordinate system from an arbitrary basis and use the same technique as for R n {\displaystyle \mathbb {R} ^{n}} .

  8. Calculus of variations - Wikipedia

    en.wikipedia.org/wiki/Calculus_of_Variations

    An important general work is that of Pierre Frédéric Sarrus (1842) which was condensed and improved by Augustin-Louis Cauchy (1844). Other valuable treatises and memoirs have been written by Strauch [ which? ] (1849), John Hewitt Jellett (1850), Otto Hesse (1857), Alfred Clebsch (1858), and Lewis Buffett Carll (1885), but perhaps the most ...

  9. Remix culture - Wikipedia

    en.wikipedia.org/wiki/Remix_culture

    Remix culture, also known as read-write culture, is a term describing a culture that allows and encourages the creation of derivative works by combining or editing existing materials. [2] [3] Remix cultures are permissive of efforts to improve upon, change, integrate, or otherwise remix the work of other creators.