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Beliebt Rechnen >

derivative of sin(\sqrt[3]{x}-2+pi)

Lösung

\frac{d}{d x} (sin (3 x - 2 + π))

Lösung

\frac{cos ( 3 x - 2 + π )}{3 x ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (sin (3 x - 2 + π))

Wende die Kettenregel an:

cos (3 x - 2 + π) \frac{d}{d x} (3 x - 2 + π)

= cos (3 x - 2 + π) \frac{d}{d x} (3 x - 2 + π)

\frac{d}{d x} (3 x - 2 + π) = \frac{1}{3 x ^{\frac{2}{3}}}

= cos (3 x - 2 + π) \frac{1}{3 x ^{\frac{2}{3}}}

Vereinfache

cos (3 x - 2 + π) \frac{1}{3 x ^{\frac{2}{3}}} : \frac{cos ( 3 x - 2 + π )}{3 x ^{\frac{2}{3}}}

= \frac{cos ( 3 x - 2 + π )}{3 x ^{\frac{2}{3}}}

Graph

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