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Beliebt Rechnen >

(\partial)/(\partial y)(sin(pi(5x-2y)))

Lösung

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

Lösung

- 2 π cos (π (5 x - 2 y))

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= cos (π (5 x - 2 y)) (- 2 π)

Vereinfache

= - 2 π cos (π (5 x - 2 y))

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