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Beliebt Rechnen >

(\partial)/(\partial x)(-2xyz^2+12)

Lösung

\frac{\partial}{\partial x} (- 2 x y z^{2} + 12)

Lösung

- 2 y z^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (- 2 x y z^{2} + 12)

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} (12)

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

\frac{\partial}{\partial x} (12) = 0

= - 2 y z^{2} + 0

Vereinfache

= - 2 y z^{2}

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