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Beliebt Rechnen >

(\partial)/(\partial x)(sin^2(x-3y))

Lösung

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

Lösung

sin (2 (x - 3 y))

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= 2 sin (x - 3 y) cos (x - 3 y)

Verwende die Doppelwinkelidentität:

2 sin (x) cos (x) = sin (2 x)

= sin (2 (x - 3 y))

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