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  2. Difference quotient - Wikipedia

    en.wikipedia.org/wiki/Difference_quotient

    By a slight change in notation (and viewpoint), for an interval [ a, b ], the difference quotient. is called [5] the mean (or average) value of the derivative of f over the interval [ a, b ]. This name is justified by the mean value theorem, which states that for a differentiable function f, its derivative f′ reaches its mean value at some ...

  3. Quotient rule - Wikipedia

    en.wikipedia.org/wiki/Quotient_rule

    Calculus. In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. [1] [2] [3] Let , where both f and g are differentiable and The quotient rule states that the derivative of h(x) is. It is provable in many ways by using other derivative rules .

  4. Long division - Wikipedia

    en.wikipedia.org/wiki/Long_division

    Long division. In arithmetic, long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals ( Positional notation) that is simple enough to perform by hand. It breaks down a division problem into a series of easier steps.

  5. Euclidean division - Wikipedia

    en.wikipedia.org/wiki/Euclidean_division

    In arithmetic, Euclidean division – or division with remainder – is the process of dividing one integer (the dividend) by another (the divisor), in a way that produces an integer quotient and a natural number remainder strictly smaller than the absolute value of the divisor. A fundamental property is that the quotient and the remainder ...

  6. Reciprocal polynomial - Wikipedia

    en.wikipedia.org/wiki/Reciprocal_polynomial

    Reciprocal polynomial. In algebra, given a polynomial. with coefficients from an arbitrary field, its reciprocal polynomial or reflected polynomial, [1] [2] denoted by p∗ or pR, [2] [1] is the polynomial [3] That is, the coefficients of p∗ are the coefficients of p in reverse order. Reciprocal polynomials arise naturally in linear algebra ...

  7. Second derivative - Wikipedia

    en.wikipedia.org/wiki/Second_derivative

    In calculus, the second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative can be phrased as "the rate of change of the rate of change"; for example, the second derivative of the position of an object with respect to time is the instantaneous acceleration of ...

  8. Quotition and partition - Wikipedia

    en.wikipedia.org/wiki/Quotition_and_partition

    Quotition and partition. In arithmetic, quotition and partition are two ways of viewing fractions and division. In quotitive division one asks "how many parts are there?" while in partitive division one asks "what is the size of each part?" In general, a quotient where Q, N, and D are integers or rational numbers, can be conceived of in either ...

  9. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    de Moivre. Euler. Fourier. v. t. e. In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.

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