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Beliebt Rechnen >

(\partial)/(\partial x)(x^2z+3z^2x+6(x+z))

Lösung

\frac{\partial}{\partial x} (x^{2} z + 3 z^{2} x + 6 (x + z))

Lösung

2 z x + 3 z^{2} + 6

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} z + 3 z^{2} x + 6 (x + z))

Behandle

z

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{2} z) + \frac{\partial}{\partial x} (3 z^{2} x) + \frac{\partial}{\partial x} (6 (x + z))

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

\frac{\partial}{\partial x} (3 z^{2} x) = 3 z^{2}

\frac{\partial}{\partial x} (6 (x + z)) = 6

= 2 z x + 3 z^{2} + 6

Beliebte Beispiele

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\int 34 arctan (x) d x