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Beliebt Rechnen >

derivative of 4cos^5(x)

Lösung

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

Lösung

- 20 cos^{4} (x) sin (x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= - 20 cos^{4} (x) sin (x)

Graph

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(\partial)/(\partial y)(2e^xcos(yz))

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