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- Differential_calculus abstract "In mathematics, differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus.The primary objects of study in differential calculus are the derivative of a function, related notions such as the differential, and their applications. The derivative of a function at a chosen input value describes the rate of change of the function near that input value. The process of finding a derivative is called differentiation. Geometrically, the derivative at a point is the slope of the tangent line to the graph of the function at that point, provided that the derivative exists and is defined at that point. For a real-valued function of a single real variable, the derivative of a function at a point generally determines the best linear approximation to the function at that point. Differential calculus and integral calculus are connected by the fundamental theorem of calculus, which states that differentiation is the reverse process to integration.Differentiation has applications to nearly all quantitative disciplines. For example, in physics, the derivative of the displacement of a moving body with respect to time is the velocity of the body, and the derivative of velocity with respect to time is acceleration. Newton's second law of motion states that the derivative of the momentum of a body equals the force applied to the body. The reaction rate of a chemical reaction is a derivative. In operations research, derivatives determine the most efficient ways to transport materials and design factories. Derivatives are frequently used to find the maxima and minima of a function. Equations involving derivatives are called differential equations and are fundamental in describing natural phenomena. Derivatives and their generalizations appear in many fields of mathematics, such as complex analysis, functional analysis, differential geometry, measure theory and abstract algebra.".
- Differential_calculus thumbnail Tangent_to_a_curve.svg?width=300.
- Differential_calculus wikiPageExternalLink v=onepage&q&f=false.
- Differential_calculus wikiPageID "50416".
- Differential_calculus wikiPageRevisionID "591958258".
- Differential_calculus hasPhotoCollection Differential_calculus.
- Differential_calculus subject Category:Differential_calculus.
- Differential_calculus comment "In mathematics, differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus.The primary objects of study in differential calculus are the derivative of a function, related notions such as the differential, and their applications. The derivative of a function at a chosen input value describes the rate of change of the function near that input value.".
- Differential_calculus label "Cálculo diferencial".
- Differential_calculus label "Differentiaalrekening".
- Differential_calculus label "Differential calculus".
- Differential_calculus label "Differentialrechnung".
- Differential_calculus label "Różniczka funkcji".
- Differential_calculus label "Дифференциальное исчисление".
- Differential_calculus label "تفاضل".
- Differential_calculus label "微分".
- Differential_calculus sameAs Diferenciální_počet.
- Differential_calculus sameAs Differentialrechnung.
- Differential_calculus sameAs Cálculo_diferencial.
- Differential_calculus sameAs Kalkulu_diferentzial.
- Differential_calculus sameAs Kalkulus_diferensial.
- Differential_calculus sameAs Differentiaalrekening.
- Differential_calculus sameAs Różniczka_funkcji.
- Differential_calculus sameAs m.02vk53r.
- Differential_calculus sameAs Q149999.
- Differential_calculus sameAs Q149999.
- Differential_calculus wasDerivedFrom Differential_calculus?oldid=591958258.
- Differential_calculus depiction Tangent_to_a_curve.svg.
- Differential_calculus isPrimaryTopicOf Differential_calculus.