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Rational function/R/Determine derivative/x^n/n in Z/Exercise
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Determine the derivative of the function
f
:
D
=
R
∖
{
0
}
⟶
R
,
x
⟼
f
(
x
)
=
x
n
,
{\displaystyle f\colon D=\mathbb {R} \setminus \{0\}\longrightarrow \mathbb {R} ,x\longmapsto f(x)=x^{n},}
for all
n
∈
Z
{\displaystyle {}n\in \mathbb {Z} }
.
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