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Beliebt Rechnen >

(\partial)/(\partial z)(2xy+z^2)

Lösung

\frac{\partial}{\partial z} (2 x y + z^{2})

Lösung

2 z

Schritte zur Lösung

\frac{\partial}{\partial z} (2 x y + z^{2})

Behandle

x, y

als Konstanten

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial z} (2 x y) + \frac{\partial}{\partial z} (z^{2})

\frac{\partial}{\partial z} (2 x y) = 0

\frac{\partial}{\partial z} (z^{2}) = 2 z

= 0 + 2 z

Vereinfache

= 2 z

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derivative (m+2)/(m^2+5m+6)

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