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Beliebt Rechnen >

(\partial)/(\partial x)(e^{e^{xy}})

Lösung

\frac{\partial}{\partial x} (e^{e^{x y}})

Lösung

e^{e^{x y} + x y} y

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{e^{x y}})

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{e^{x y}} \frac{\partial}{\partial x} (e^{x y})

= e^{e^{x y}} \frac{\partial}{\partial x} (e^{x y})

\frac{\partial}{\partial x} (e^{x y}) = e^{x y} y

= e^{e^{x y}} e^{x y} y

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

e^{e^{x y}} e^{x y} = e^{e^{x y} + x y}

= e^{e^{x y} + x y} y

Beliebte Beispiele

derivative x|x-2|

limit as x approaches-2 of 2|x+2|

(\partial)/(\partial x)(ln(y+x))

integral from-2 to 4 of x

integral of 1/(1-3u)