leibniz rule

In calculus, Leibniz's rule for differentiation under the integral sign, named after Gottfried Leibniz, states that ...

leibniz rule

In calculus, Leibniz's rule for differentiation under the integral sign, named after Gottfried Leibniz, states that for an integral of the form. ∫ a ( x ) b ( x ) f ( x , t ) d t ... ,The Leibniz integral rule gives a formula for differentiation of a definite integral ... This rule can be used to evaluate certain unusual definite integrals such as ...

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leibniz rule 相關參考資料
General Leibniz rule - Wikipedia

In calculus, the general Leibniz rule, named after Gottfried Wilhelm Leibniz, generalizes the product rule It states that if f -displaystyle f} f and g -displaystyle g} g ...

https://en.wikipedia.org

Leibniz integral rule - Wikipedia

In calculus, Leibniz's rule for differentiation under the integral sign, named after Gottfried Leibniz, states that for an integral of the form. ∫ a ( x ) b ( x ) f ( x , t ) d t ...

https://en.wikipedia.org

Leibniz Integral Rule -- from Wolfram MathWorld

The Leibniz integral rule gives a formula for differentiation of a definite integral ... This rule can be used to evaluate certain unusual definite integrals such as ...

http://mathworld.wolfram.com

Leibniz' Rule - UT Dallas

Leibniz' Rule d dx. ∫ v(x) u(x) f(x, t)dt = f(x, v(x)) dv dx. - f(x, u(x)) du dx. +. ∫ v(x) u(x). ∂f(x, t). ∂x dt. 1. Page 2. d dx. ∫ 2/x t=1/x sinxt t dt. = sin 2. 2/x. · -. 2 x2. -.

http://www.utdallas.edu

Leibniz's rule - Wikipedia

Leibniz's rule may refer to one of the following: Product rule in differential calculus; General Leibniz rule, a generalization of the product rule; Leibniz integral rule ...

https://en.wikipedia.org

Product rule - Wikipedia

In calculus, the product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as. ( f ⋅ g ) ′ = f ′ ⋅ g + f ⋅ g ′ -displaystyle (f-cdot g)'=f'-...

https://en.wikipedia.org