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Beliebt Rechnen >

derivative of (cos^2(x)^2)

Lösung

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

Lösung

- 4 cos^{3} (x) sin (x)

Schritte zur Lösung

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

Vereinfache

(cos^{2} (x))^{2} : cos^{4} (x)

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

Wende die Kettenregel an:

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

= 4 (cos (x))^{3} \frac{d}{d x} (cos (x))

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

= 4 (cos (x))^{3} (- sin (x))

Vereinfache

= - 4 cos^{3} (x) sin (x)

Graph

Beliebte Beispiele

integral of 1/(sqrt(64-x^2))

\int \frac{1}{64 - x ^{2}} d x

limit as x approaches-infinity of x,7

x \to - \infty lim (x, 7)

d er i v a t i v e - \frac{4}{x}

limit as x approaches-2 of 3x^2+4x-3

x \to - 2 lim (3 x^{2} + 4 x - 3)

integral of 20xe^{0.01x^2}

\int 20 x e^{0.01 x^{2}} d x