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Taking powers/R/Minimum or not/Exercise
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Determine directly, for which
n
∈
N
{\displaystyle {}n\in \mathbb {N} }
the power function
R
⟶
R
,
x
⟼
x
n
,
{\displaystyle \mathbb {R} \longrightarrow \mathbb {R} ,x\longmapsto x^{n},}
has an extremum at the point zero.
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