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Beliebt Rechnen >

(\partial)/(\partial x)(y^3sin(3x))

Lösung

\frac{\partial}{\partial x} (y^{3} sin (3 x))

Lösung

y^{3} cos (3 x) \cdot 3

Schritte zur Lösung

\frac{\partial}{\partial x} (y^{3} sin (3 x))

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= y^{3} \frac{\partial}{\partial x} (sin (3 x))

Wende die Kettenregel an:

cos (3 x) \frac{\partial}{\partial x} (3 x)

= cos (3 x) \frac{\partial}{\partial x} (3 x)

\frac{\partial}{\partial x} (3 x) = 3

= y^{3} cos (3 x) \cdot 3

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