Power rule

Method of differentiating single-term polynomials

In calculus, the power rule is used to differentiate functions of the form f ( x) = x r {\displaystyle f(x)=x^{r}} , whenever r {\displaystyle 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. The power rule underlies the Taylor series as it relates a power series with a function's derivatives.

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