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Beliebt Rechnen >

derivative of cos^5(3x)

Lösung

\frac{d}{d x} (cos^{5} (3 x))

Lösung

- 15 cos^{4} (3 x) sin (3 x)

Schritte zur Lösung

\frac{d}{d x} (cos^{5} (3 x))

Wende die Kettenregel an:

5 (cos (3 x))^{4} \frac{d}{d x} (cos (3 x))

= 5 (cos (3 x))^{4} \frac{d}{d x} (cos (3 x))

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

= 5 (cos (3 x))^{4} (- sin (3 x) \cdot 3)

Vereinfache

= - 15 cos^{4} (3 x) sin (3 x)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(9)

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\frac{d}{d x} (6 ln (4 x))

(dy)/(dx)=85yx^{16}

\frac{d y}{d x} = 85 y x^{16}