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  2. Differential equation - Wikipedia

    en.wikipedia.org/wiki/Differential_equation

    In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. [1] In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two.

  3. Differential of a function - Wikipedia

    en.wikipedia.org/wiki/Differential_of_a_function

    In calculus, the differential represents the principal part of the change in a function = with respect to changes in the independent variable. The differential is defined by = ′ (), where ′ is the derivative of f with respect to , and is an additional real variable (so that is a function of and ).

  4. Differential calculus - Wikipedia

    en.wikipedia.org/wiki/Differential_calculus

    An ordinary differential equation is a differential equation that relates functions of one variable to their derivatives with respect to that variable. A partial differential equation is a differential equation that relates functions of more than one variable to their partial derivatives. Differential equations arise naturally in the physical ...

  5. 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 ...

  6. 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.

  7. Ordinary differential equation - Wikipedia

    en.wikipedia.org/wiki/Ordinary_differential_equation

    In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable.As with other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions. [1]

  8. Quotient rule - Wikipedia

    en.wikipedia.org/wiki/Quotient_rule

    Product rule – Formula for the derivative of a product Reciprocal rule – differentiation rule Pages displaying wikidata descriptions as a fallback Table of derivatives – Rules for computing derivatives of functions Pages displaying short descriptions of redirect targets

  9. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    These include differential equations, manifolds, Lie groups, and ergodic theory. [4] This article gives a summary of the most important of these. This article lists equations from Newtonian mechanics, see analytical mechanics for the more general formulation of classical mechanics (which includes Lagrangian and Hamiltonian mechanics).

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