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  2. Quotient rule - Wikipedia

    en.wikipedia.org/wiki/Quotient_rule

    In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let () = () ...

  3. Division (mathematics) - Wikipedia

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

    The division with remainder or Euclidean division of two natural numbers provides an integer quotient, which is the number of times the second number is completely contained in the first number, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of ...

  4. Long division - Wikipedia

    en.wikipedia.org/wiki/Long_division

    The process is begun by dividing the left-most digit of the dividend by the divisor. The quotient (rounded down to an integer) becomes the first digit of the result, and the remainder is calculated (this step is notated as a subtraction). This remainder carries forward when the process is repeated on the following digit of the dividend (notated ...

  5. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    The reciprocal rule can be derived either from the quotient rule, or from the combination of power rule and chain rule. The quotient rule If f and g are ...

  6. Vector calculus identities - Wikipedia

    en.wikipedia.org/wiki/Vector_calculus_identities

    2.4 Quotient rule for division by a scalar. 2.5 Chain rule. 2.6 Dot product rule. 2.7 Cross product rule. 3 Second derivative identities.

  7. Polynomial long division - Wikipedia

    en.wikipedia.org/wiki/Polynomial_long_division

    Polynomial long division is an algorithm that implements the Euclidean division of polynomials, which starting from two polynomials A (the dividend) and B (the divisor) produces, if B is not zero, a quotient Q and a remainder R such that A = BQ + R, and either R = 0 or the degree of R is lower than the degree of B.

  8. New Year's resolutions for pet owners to make (and keep!) in 2025

    www.aol.com/years-resolutions-pet-owners-keep...

    But if you're hoping to spark some positive change in your pet's life, and give some joy back, that's where New Year's resolutions for pet owners can step up to the plate.

  9. Differentiation of trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Differentiation_of...

    In the last step we took the reciprocals of the three positive terms, reversing the inequities. Squeeze: The curves y = 1 and y = cos θ shown in red, the curve y = sin( θ )/ θ shown in blue. We conclude that for 0 < θ < ⁠ 1 / 2 ⁠ π, the quantity sin( θ )/ θ is always less than 1 and always greater than cos(θ).