(\partial)/(\partial y)(8ze^{xyz})

Lösung

\frac{\partial}{\partial y} (8 z e^{x yz})

8 e^{z x y} z^{2} x

Schritte zur Lösung

\frac{\partial}{\partial y} (8 z e^{x yz})

Behandle

z, x

als Konstanten

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 8 z \frac{\partial}{\partial y} (e^{x yz})

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial y} (x yz) = z x

= 8 z e^{x yz} z x

Vereinfache

8 z e^{x yz} z x : 8 e^{z x y} z^{2} x

= 8 e^{z x y} z^{2} x

l a pl a ce t r an s f or m f (t) = 4 t - 10

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