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Beliebt Rechnen >

(\partial)/(\partial x)(4x^2+y^2-9y)

Lösung

\frac{\partial}{\partial x} (4 x^{2} + y^{2} - 9 y)

Lösung

8 x

Schritte zur Lösung

\frac{\partial}{\partial x} (4 x^{2} + y^{2} - 9 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 x^{2}) + \frac{\partial}{\partial x} (y^{2}) - \frac{\partial}{\partial x} (9 y)

\frac{\partial}{\partial x} (4 x^{2}) = 8 x

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

\frac{\partial}{\partial x} (9 y) = 0

= 8 x + 0 - 0

Vereinfache

= 8 x

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