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Beliebt Rechnen >

derivative cos^9(t)

Lösung

ableitung von

cos^{9} (t)

Lösung

- 9 cos^{8} (t) sin (t)

Schritte zur Lösung

\frac{d}{d t} (cos^{9} (t))

Wende die Kettenregel an:

9 (cos (t))^{8} \frac{d}{d t} (cos (t))

= 9 (cos (t))^{8} \frac{d}{d t} (cos (t))

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

= 9 (cos (t))^{8} (- sin (t))

Vereinfache

= - 9 cos^{8} (t) sin (t)

Graph

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