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  2. Differential calculus - Wikipedia

    en.wikipedia.org/wiki/Differential_calculus

    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. [2]

  3. List of calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_calculus_topics

    2 Differential calculus. 3 Integral calculus. 4 Special functions and numbers. 5 Absolute numerical. ... Download as PDF; Printable version; In other projects Appearance.

  4. Differential (mathematics) - Wikipedia

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

    Introduction. The term differential is used nonrigorously in calculus to refer to an infinitesimal ("infinitely small") change in some varying quantity. For example, if x is a variable, then a change in the value of x is often denoted Δ x (pronounced delta x). The differential dx represents an infinitely small change in the variable x.

  5. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    Elementary rules of differentiation. Unless otherwise stated, all functions are functions of real numbers (R) that return real values; although more generally, the formulae below apply wherever they are well defined [1][2] — including the case of complex numbers (C). [3]

  6. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    Look up calculus in Wiktionary, the free dictionary. In mathematics education, calculus is an abbreviation of both infinitesimal calculus and integral calculus, which denotes courses of elementary mathematical analysis. In Latin, the word calculus means “small pebble”, (the diminutive of calx, meaning "stone"), a meaning which still ...

  7. Institutiones calculi differentialis - Wikipedia

    en.wikipedia.org/wiki/Institutiones_calculi...

    Institutiones calculi differentialis. Institutiones calculi differentialis (Foundations of differential calculus) is a mathematical work written in 1748 by Leonhard Euler and published in 1755. It lays the groundwork for the differential calculus. It consists of a single volume containing two internal books; there are 9 chapters in book I, and ...

  8. Exterior derivative - Wikipedia

    en.wikipedia.org/wiki/Exterior_derivative

    Definition. The exterior derivative of a differential form of degree k (also differential k -form, or just k -form for brevity here) is a differential form of degree k + 1. If f is a smooth function (a 0 -form), then the exterior derivative of f is the differential of f . That is, df is the unique 1 -form such that for every smooth vector field ...

  9. Differential of a function - Wikipedia

    en.wikipedia.org/wiki/Differential_of_a_function

    e. 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 ). The notation is such that the equation.

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