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Beliebt Rechnen >

(\partial)/(\partial y)(x^2cos(4y))

Lösung

\frac{\partial}{\partial y} (x^{2} cos (4 y))

Lösung

- 4 x^{2} sin (4 y)

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} cos (4 y))

Behandle

x

als Konstante

Entferne die Konstante:

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

= x^{2} \frac{\partial}{\partial y} (cos (4 y))

Wende die Kettenregel an:

- sin (4 y) \frac{\partial}{\partial y} (4 y)

= - sin (4 y) \frac{\partial}{\partial y} (4 y)

\frac{\partial}{\partial y} (4 y) = 4

= x^{2} (- sin (4 y) \cdot 4)

Vereinfache

= - 4 x^{2} sin (4 y)

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