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Beliebt Rechnen >

derivative cos^3(t)

Lösung

ableitung von

cos^{3} (t)

Lösung

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

Schritte zur Lösung

\frac{d}{d t} (cos^{3} (t))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

derivative of (-3/(x^4))

\frac{d}{d x} (\frac{- 3}{x ^{4}})

integral from 0 to pi of 4cos^4(x)sin(x)

\int_{0}^{π} 4 cos^{4} (x) sin (x) d x

(ln (x^{2}))^{^{'}}

derivative of 2yx

\frac{d}{d x} (2 y x)

inverselaplace 1/(s(s^2+7s+12))

in v erse l a pl a ce \frac{1}{s ( s ^{2} + 7 s + 12 )}