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  2. 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 ...

  3. 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.

  4. Differential calculus - Wikipedia

    en.wikipedia.org/wiki/Differential_calculus

    In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. [1] It is one of the two traditional divisions of calculus, the other being integral calculus—the study of the area beneath a curve.

  5. Category:Mathematical identities - Wikipedia

    en.wikipedia.org/wiki/Category:Mathematical...

    Download as PDF; Printable version; ... (mathematics) Cish (mathematics) ... Cyclotomic identity; D. Differentiation of trigonometric functions; Differentiation rules ...

  6. Category:Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Category:Differentiation_rules

    Download as PDF; Printable version; In other projects Wikidata item; ... Pages in category "Differentiation rules" The following 11 pages are in this category, out of ...

  7. Notation for differentiation - Wikipedia

    en.wikipedia.org/wiki/Notation_for_differentiation

    However, because integration is the inverse operation of differentiation, Lagrange's notation for higher order derivatives extends to integrals as well. Repeated integrals of f may be written as f ( − 1 ) ( x ) {\displaystyle f^{(-1)}(x)} for the first integral (this is easily confused with the inverse function f − 1 ( x ) {\displaystyle f ...

  8. Generalizations of the derivative - Wikipedia

    en.wikipedia.org/wiki/Generalizations_of_the...

    In addition to n th derivatives for any natural number n, there are various ways to define derivatives of fractional or negative orders, which are studied in fractional calculus. The −1 order derivative corresponds to the integral, whence the term differintegral.

  9. Inverse function rule - Wikipedia

    en.wikipedia.org/wiki/Inverse_function_rule

    Differentiation rulesRules for computing derivatives of functions Implicit function theorem – On converting relations to functions of several real variables Integration of inverse functions – Mathematical theorem, used in calculus Pages displaying short descriptions of redirect targets