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Beliebt Rechnen >

(\partial)/(\partial y)(sin(x)cos(7y))

Lösung

\frac{\partial}{\partial y} (sin (x) cos (7 y))

Lösung

- 7 sin (x) sin (7 y)

Schritte zur Lösung

\frac{\partial}{\partial y} (sin (x) cos (7 y))

Behandle

x

als Konstante

Entferne die Konstante:

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

= sin (x) \frac{\partial}{\partial y} (cos (7 y))

Wende die Kettenregel an:

- sin (7 y) \frac{\partial}{\partial y} (7 y)

= - sin (7 y) \frac{\partial}{\partial y} (7 y)

\frac{\partial}{\partial y} (7 y) = 7

= sin (x) (- sin (7 y) \cdot 7)

Vereinfache

= - 7 sin (x) sin (7 y)

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