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Beliebt Rechnen >

(\partial)/(\partial x)(2xyz^2-192)

Lösung

\frac{\partial}{\partial x} (2 x y z^{2} - 192)

Lösung

2 y z^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x y z^{2} - 192)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 x y z^{2}) - \frac{\partial}{\partial x} (192)

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

\frac{\partial}{\partial x} (192) = 0

= 2 y z^{2} - 0

Vereinfache

= 2 y z^{2}

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