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Real exponential function/Derivative/Fact
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The
exponential function
R
⟶
R
,
x
⟼
exp
x
,
{\displaystyle \mathbb {R} \longrightarrow \mathbb {R} ,x\longmapsto \exp x,}
is
differentiable
with
exp
′
(
x
)
=
exp
x
.
{\displaystyle {}\exp \!'(x)=\exp x\,.}
Proof
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