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Beliebt Rechnen >

(\partial)/(\partial x)(cos^2(3x))

Lösung

\frac{\partial}{\partial x} (cos^{2} (3 x))

Lösung

- 3 sin (6 x)

Schritte zur Lösung

\frac{\partial}{\partial x} (cos^{2} (3 x))

Wende die Kettenregel an:

2 cos (3 x) \frac{\partial}{\partial x} (cos (3 x))

= 2 cos (3 x) \frac{\partial}{\partial x} (cos (3 x))

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

= 2 cos (3 x) (- sin (3 x) \cdot 3)

Vereinfache

2 cos (3 x) (- sin (3 x) \cdot 3) : - 3 sin (6 x)

= - 3 sin (6 x)

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