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Beliebt Rechnen >

(\partial)/(\partial x)(2sin(3x+2y))

Lösung

\frac{\partial}{\partial x} (2 sin (3 x + 2 y))

Lösung

6 cos (3 x + 2 y)

Schritte zur Lösung

\frac{\partial}{\partial x} (2 sin (3 x + 2 y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= 2 \frac{\partial}{\partial x} (sin (3 x + 2 y))

Wende die Kettenregel an:

cos (3 x + 2 y) \frac{\partial}{\partial x} (3 x + 2 y)

= cos (3 x + 2 y) \frac{\partial}{\partial x} (3 x + 2 y)

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

= 2 cos (3 x + 2 y) \cdot 3

Vereinfache

= 6 cos (3 x + 2 y)

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