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Beliebt Rechnen >

derivative y=cos^3(pit-16)

Lösung

ableitung von

y = cos^{3} (π t - 16)

Lösung

- 3 π cos^{2} (π t - 16) sin (π t - 16)

Schritte zur Lösung

\frac{d}{d t} (cos^{3} (π t - 16))

Wende die Kettenregel an:

3 (cos (π t - 16))^{2} \frac{d}{d t} (cos (π t - 16))

= 3 (cos (π t - 16))^{2} \frac{d}{d t} (cos (π t - 16))

\frac{d}{d t} (cos (π t - 16)) = - sin (π t - 16) π

= 3 (cos (π t - 16))^{2} (- sin (π t - 16) π)

Vereinfache

= - 3 π cos^{2} (π t - 16) sin (π t - 16)

Graph

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