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  2. Fox derivative - Wikipedia

    en.wikipedia.org/wiki/Fox_derivative

    In mathematics, the Fox derivative is an algebraic construction in the theory of free groups which bears many similarities to the conventional derivative of calculus. The Fox derivative and related concepts are often referred to as the Fox calculus , or (Fox's original term) the free differential calculus .

  3. List of derivatives and integrals in alternative calculi

    en.wikipedia.org/wiki/List_of_derivatives_and...

    Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Unsourced material may be challenged and removed. Find sources: "List of derivatives and integrals in alternative calculi" – news · newspapers · books · scholar · JSTOR ( January 2010 ) ( Learn how and when to remove ...

  4. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    The derivatives in the table above are for when the range of the inverse secant is [,] and when the range of the inverse cosecant is [,]. It is common to additionally define an inverse tangent function with two arguments , arctan ⁡ ( y , x ) {\textstyle \arctan(y,x)} .

  5. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus.

  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. Differential calculus - Wikipedia

    en.wikipedia.org/wiki/Differential_calculus

    Calculus is of vital importance in physics: many physical processes are described by equations involving derivatives, called differential equations. Physics is particularly concerned with the way quantities change and develop over time, and the concept of the " time derivative " — the rate of change over time — is essential for the precise ...

  8. Chain rule - Wikipedia

    en.wikipedia.org/wiki/Chain_rule

    In calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions f and g in terms of the derivatives of f and g.More precisely, if = is the function such that () = (()) for every x, then the chain rule is, in Lagrange's notation, ′ = ′ (()) ′ (). or, equivalently, ′ = ′ = (′) ′.

  9. 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 ).

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