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Beliebt Rechnen >

derivative of-8cos^3(x)

Lösung

\frac{d}{d x} (- 8 cos^{3} (x))

Lösung

24 cos^{2} (x) sin (x)

Schritte zur Lösung

\frac{d}{d x} (- 8 cos^{3} (x))

Entferne die Konstante:

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

= - 8 \frac{d}{d x} (cos^{3} (x))

Wende die Kettenregel an:

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

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

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

= - 8 \cdot 3 (cos (x))^{2} (- sin (x))

Vereinfache

= 24 cos^{2} (x) sin (x)

Graph

Beliebte Beispiele

integral of 1-x^2-3x^5

\int 1 - x^{2} - 3 x^{5} d x

derivative sqrt(x^2-5x)

d er i v a t i v e x^{2} - 5 x

inverselaplace (5s)/((s+7)(s^2+4))

in v erse l a pl a ce \frac{5 s}{( s + 7 ) ( s ^{2} + 4 )}

integral from 0 to 2 of (30t^2)/(4+t^3)

\int_{0}^{2} \frac{30 t ^{2}}{4 + t ^{3}} d t

integral of (x^3+x)/(x+1)

\int \frac{x ^{3} + x}{x + 1} d x