< Reelle Exponentialfunktion < Basis < Ableitung
Die
Exponentialfunktion
R
⟶
R
,
x
⟼
a
x
,
{\displaystyle \mathbb {R} \longrightarrow \mathbb {R} ,\,x\longmapsto a^{x},}
zur Basis
a
>
0
{\displaystyle {}a>0}
ist
differenzierbar
mit
(
a
x
)
′
=
(
ln
a
)
a
x
.
{\displaystyle {}{\left(a^{x}\right)}'={\left(\ln a\right)}a^{x}\,.}
Zum Beweis
,
Alternativen Beweis erstellen
This article is issued from
Wikiversity
. The text is licensed under
Creative Commons - Attribution - Sharealike
. Additional terms may apply for the media files.
