Power Rule
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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