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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. Differentiation rules - Wikipedia

   en.wikipedia.org/wiki/Differentiation_rules

   Logarithmic differentiation is a technique which uses logarithms and its differentiation rules to simplify certain expressions before actually applying the derivative. [ citation needed ] Logarithms can be used to remove exponents, convert products into sums, and convert division into subtraction — each of which may lead to a simplified ...

4. 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 ...

5. General Leibniz rule - Wikipedia

   en.wikipedia.org/wiki/General_Leibniz_rule

   The proof of the general Leibniz rule [2]: 68–69 proceeds by induction. Let f {\displaystyle f} and g {\displaystyle g} be n {\displaystyle n} -times differentiable functions. The base case when n = 1 {\displaystyle n=1} claims that: ( f g ) ′ = f ′ g + f g ′ , {\displaystyle (fg)'=f'g+fg',} which is the usual product rule and is known ...

6. Derivative - Wikipedia

   en.wikipedia.org/wiki/Derivative

   The process of finding a derivative is called differentiation. There are multiple different notations for differentiation, two of the most commonly used being Leibniz notation and prime notation. Leibniz notation, named after Gottfried Wilhelm Leibniz , is represented as the ratio of two differentials , whereas prime notation is written by ...

7. Differential (mathematics) - Wikipedia

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

   The exterior derivative is a notion of differentiation of differential forms which generalizes the differential of a function (which is a differential 1-form). Pullback is, in particular, a geometric name for the chain rule for composing a map between manifolds with a differential form on the target manifold.

8. Category:Differentiation rules - Wikipedia

   en.wikipedia.org/wiki/Category:Differentiation_rules

   Pages in category "Differentiation rules" The following 11 pages are in this category, out of 11 total. This list may not reflect recent changes. ...

9. Distribution (mathematics) - Wikipedia

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

   A precise version of this result, given below, holds for distributions of compact support, tempered distributions, and general distributions. Generally speaking, no proper subset of the space of distributions contains all continuous functions and is closed under differentiation.