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  2. Product rule - Wikipedia

    en.wikipedia.org/wiki/Product_rule

    In calculus, the product rule (or Leibniz rule [1] or Leibniz product rule) is a formula used to find the derivatives of products of two or more functions.For two functions, it may be stated in Lagrange's notation as () ′ = ′ + ′ or in Leibniz's notation as () = +.

  3. Triple product rule - Wikipedia

    en.wikipedia.org/wiki/Triple_product_rule

    Suppose a function f(x, y, z) = 0, where x, y, and z are functions of each other. Write the total differentials of the variables = + = + Substitute dy into dx = [() + ()] + By using the chain rule one can show the coefficient of dx on the right hand side is equal to one, thus the coefficient of dz must be zero () + = Subtracting the second term and multiplying by its inverse gives the triple ...

  4. Rule of product - Wikipedia

    en.wikipedia.org/wiki/Rule_of_product

    In combinatorics, the rule of product or multiplication principle is a basic counting principle (a.k.a. the fundamental principle of counting). Stated simply, it is the intuitive idea that if there are a ways of doing something and b ways of doing another thing, then there are a · b ways of performing both actions.

  5. Template:Rule - Wikipedia

    en.wikipedia.org/wiki/Template:Rule

    Template: Rule. 1 language ... Upload file; Special pages; ... Page information; Get shortened URL; Download QR code; Print/export Download as PDF; Printable version ...

  6. Zaytsev's rule - Wikipedia

    en.wikipedia.org/wiki/Zaytsev's_rule

    In organic chemistry, Zaytsev's rule (or Zaitsev's rule, Saytzeff's rule, Saytzev's rule) is an empirical rule for predicting the favored alkene product(s) in elimination reactions. While at the University of Kazan , Russian chemist Alexander Zaytsev studied a variety of different elimination reactions and observed a general trend in the ...

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  8. Reciprocal rule - Wikipedia

    en.wikipedia.org/wiki/Reciprocal_rule

    Also, one can readily deduce the quotient rule from the reciprocal rule and the product rule. The reciprocal rule states that if f is differentiable at a point x and f(x) ≠ 0 then g(x) = 1/f(x) is also differentiable at x and ′ = ′ ().

  9. Multiple rule-based problems - Wikipedia

    en.wikipedia.org/wiki/Multiple_rule-based_problems

    Multiple rule-based problems are problems containing various conflicting rules and restrictions. [1] Such problems typically have an " optimal " solution, found by striking a balance between the various restrictions, without directly defying any of the aforementioned restrictions.

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