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Function/t^x e^(-t)/Maximum in t/Exercise
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<
Function
Let
x
∈
R
{\displaystyle {}x\in \mathbb {R} }
and consider the function
f
:
R
+
⟶
R
,
t
⟼
f
(
t
)
=
t
x
e
−
t
.
{\displaystyle f\colon \mathbb {R} _{+}\longrightarrow \mathbb {R} ,t\longmapsto f(t)=t^{x}e^{-t}.}
Determine the extrema of this function.
Create a solution