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Growing behavior/e to the power x over x^2+1/Exercise
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Show that the function
f
:
R
⟶
R
,
x
⟼
f
(
x
)
=
e
x
x
2
+
1
,
{\displaystyle f\colon \mathbb {R} \longrightarrow \mathbb {R} ,x\longmapsto f(x)={\frac {e^{x}}{x^{2}+1}},}
is strictly increasing.
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