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- Derivative abstract "The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function or dependent variable) which is determined by another quantity (the independent variable). It is a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time is advanced. The derivative measures the instantaneous rate of change of the function, as distinct from its average rate of change, and is defined as the limit of the average rate of change in the function as the length of the interval on which the average is computed tends to zero.The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. In fact, the derivative at a point of a function of a single variable is the slope of the tangent line to the graph of the function at that point.The notion of derivative may be generalized to functions of several real variables. The generalized derivative is a linear map called the differential. Its matrix representation is the Jacobian matrix, which reduces to the gradient vector in the case of real-valued function of several variables.The process of finding a derivative is called differentiation. The reverse process is called antidifferentiation. The fundamental theorem of calculus states that antidifferentiation is the same as integration. Differentiation and integration constitute the two fundamental operations in single-variable calculus.".
- Derivative thumbnail Tangent_to_a_curve.svg?width=300.
- Derivative wikiPageExternalLink Calculus.
- Derivative wikiPageExternalLink Infinitesimals.html.
- Derivative wikiPageExternalLink Derivative.html.
- Derivative wikiPageExternalLink strangtext.htm.
- Derivative wikiPageExternalLink de2de.
- Derivative wikiPageExternalLink unabridged.html.
- Derivative wikiPageExternalLink calculus--derivatives-1--new-hd-version?playlist=Calculus.
- Derivative wikiPageExternalLink calc.
- Derivative wikiPageExternalLink calculus.
- Derivative wikiPageExternalLink calc.html.
- Derivative wikiPageExternalLink trig2.html.
- Derivative wikiPageExternalLink www.understandingcalculus.com.
- Derivative wikiPageID "7921".
- Derivative wikiPageRevisionID "606057173".
- Derivative about "yes".
- Derivative align "right".
- Derivative by "no".
- Derivative caption "Figure 1. The tangent line at".
- Derivative caption "Figure 2. The secant to curve y= f determined by points and".
- Derivative caption "Figure 3. The tangent line as limit of secants".
- Derivative caption "Figure 4. Animated illustration: the tangent line as the limit of secants".
- Derivative direction "vertical".
- Derivative hasPhotoCollection Derivative.
- Derivative header "Rate of change as a limit value".
- Derivative id "p/d031260".
- Derivative image "Derivative GIF.gif".
- Derivative image "Lim-secant.svg".
- Derivative image "Secant-calculus.svg".
- Derivative image "Tangent-calculus.svg".
- Derivative label "Derivative".
- Derivative onlinebooks "no".
- Derivative others "no".
- Derivative title "Derivative".
- Derivative width "250".
- Derivative subject Category:Differential_calculus.
- Derivative subject Category:Functions_and_mappings.
- Derivative subject Category:Linear_operators_in_calculus.
- Derivative subject Category:Mathematical_analysis.
- Derivative comment "The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function or dependent variable) which is determined by another quantity (the independent variable). It is a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time is advanced.".
- Derivative label "Afgeleide".
- Derivative label "Derivada".
- Derivative label "Derivada".
- Derivative label "Derivata".
- Derivative label "Derivative".
- Derivative label "Dérivée".
- Derivative label "Pochodna".
- Derivative label "Производная функции".
- Derivative label "مشتق (رياضيات)".
- Derivative label "导数".
- Derivative label "微分法".
- Derivative sameAs Derivace.
- Derivative sameAs Παράγωγος.
- Derivative sameAs Derivada.
- Derivative sameAs Deribatu.
- Derivative sameAs Dérivée.
- Derivative sameAs Turunan.
- Derivative sameAs Derivata.
- Derivative sameAs 微分法.
- Derivative sameAs 미분.
- Derivative sameAs Afgeleide.
- Derivative sameAs Pochodna.
- Derivative sameAs Derivada.
- Derivative sameAs m.026k0.
- Derivative sameAs Q29175.
- Derivative sameAs Q29175.
- Derivative wasDerivedFrom Derivative?oldid=606057173.
- Derivative depiction Tangent_to_a_curve.svg.
- Derivative isPrimaryTopicOf Derivative.