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Beliebt Rechnen >

(\partial)/(\partial x)(-cos(4x))

Lösung

\frac{\partial}{\partial x} (- cos (4 x))

Lösung

4 sin (4 x)

Schritte zur Lösung

\frac{\partial}{\partial x} (- cos (4 x))

Entferne die Konstante:

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

= - \frac{\partial}{\partial x} (cos (4 x))

Wende die Kettenregel an:

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

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

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

= - (- sin (4 x) \cdot 4)

Vereinfache

= 4 sin (4 x)

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