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Beliebt Rechnen >

(\partial)/(\partial x)((2x-5y)^2)

Lösung

\frac{\partial}{\partial x} ((2 x - 5 y)^{2})

Lösung

4 (2 x - 5 y)

Schritte zur Lösung

\frac{\partial}{\partial x} ((2 x - 5 y)^{2})

Behandle

y

als Konstante

Wende die Kettenregel an:

2 (2 x - 5 y) \frac{\partial}{\partial x} (2 x - 5 y)

= 2 (2 x - 5 y) \frac{\partial}{\partial x} (2 x - 5 y)

\frac{\partial}{\partial x} (2 x - 5 y) = 2

= 2 (2 x - 5 y) \cdot 2

Vereinfache

= 4 (2 x - 5 y)

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