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Beliebt Rechnen >

(\partial)/(\partial z)(xz-7yz+4)

Lösung

\frac{\partial}{\partial z} (x z - 7 yz + 4)

Lösung

x - 7 y

Schritte zur Lösung

\frac{\partial}{\partial z} (x z - 7 yz + 4)

Behandle

x, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial z} (x z) - \frac{\partial}{\partial z} (7 yz) + \frac{\partial}{\partial z} (4)

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

\frac{\partial}{\partial z} (7 yz) = 7 y

\frac{\partial}{\partial z} (4) = 0

= x - 7 y + 0

Vereinfache

= x - 7 y

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