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Power rule : ウィキペディア英語版
Power rule

In calculus, the power rule is used to differentiate functions of the form f(x) = x^r, whenever r is a real number. Since differentiation is a linear operation on the space of differentiable functions, polynomials can also be differentiated using this rule.
== Power rule==
If f: \mathbb \rightarrow \mathbb is a function such that f(x) = x^r, and f is differentiable at x, then,
:f'(x) = rx^
The power rule ''for integration'', which states that
:\int\! x^r \, dx=\frac+C
for any real number r \neq -1, may be derived by applying the Fundamental Theorem of Calculus to the power rule for differentiation.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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