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Reference.org
Power rule
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<p>In <a href="/facts/Calculus/MEmUTYoz">calculus</a>, 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 <a href="/facts/Real_number/R02gw5Pb">real number</a>. Since <a href="/facts/Derivative/7Ito70Dh">differentiation</a> is a <a href="/facts/Linearity/fChtg3KC">linear</a> operation on the space of differentiable functions, <a href="/facts/Polynomial/Lzak8VVx">polynomials</a> can also be differentiated using this rule. The power rule underlies the <a href="/facts/Taylor_series/M0aTuftH">Taylor series</a> as it relates a <a href="/facts/Power_series/vYh6sTps">power series</a> with a function's <a href="/facts/Derivative/7Ito70Dh">derivatives</a>. </p>