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Beliebt Rechnen >

(\partial)/(\partial x)(3x^2+2xy-7y^2)

Lösung

\frac{\partial}{\partial x} (3 x^{2} + 2 x y - 7 y^{2})

Lösung

6 x + 2 y

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x^{2} + 2 x y - 7 y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x^{2}) + \frac{\partial}{\partial x} (2 x y) - \frac{\partial}{\partial x} (7 y^{2})

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

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

\frac{\partial}{\partial x} (7 y^{2}) = 0

= 6 x + 2 y - 0

Vereinfache

= 6 x + 2 y

Beliebte Beispiele

f^{^{'}} (x) = x

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