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Continuity; Rolle's theorem; Mean value theorem; Inverse function theorem; Differential. ... Template:Calculus is used to give a brief outline of calculus topics ...
Fundamental theorem of calculus; Integration by parts; Inverse chain rule method; Integration by substitution. Tangent half-angle substitution; Differentiation under the integral sign; Trigonometric substitution; Partial fractions in integration. Quadratic integral; Proof that 22/7 exceeds π; Trapezium rule; Integral of the secant function ...
This is a documentation subpage for Template:Calculus. It may contain usage information, categories and other content that is not part of the original template page. Part of a series of articles about
If is expressed in radians: = = These limits both follow from the continuity of sin and cos. =. [7] [8] Or, in general, =, for a not equal to 0. = =, for b not equal to 0.
A form of the epsilon–delta definition of continuity was first given by Bernard Bolzano in 1817. Augustin-Louis Cauchy defined continuity of = as follows: an infinitely small increment of the independent variable x always produces an infinitely small change (+) of the dependent variable y (see e.g. Cours d'Analyse, p. 34).
the function f is n − 1 times continuously differentiable on the closed interval [a, b] and the n th derivative exists on the open interval (a, b), and; there are n intervals given by a 1 < b 1 ≤ a 2 < b 2 ≤ ⋯ ≤ a n < b n in [a, b] such that f (a k) = f (b k) for every k from 1 to n. Then there is a number c in (a, b) such that the n ...
{{google|1 pound in kilograms {{=}}}} 1 pound in kilograms = Use Template:= to add an = sign to trigger Google Calculator when necessary; that template cannot be substituted. {{google|1 pound in kilograms}} 1 pound in kilograms: Google may display Calculator results for some expressions even if they lack a trailing equals sign.
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