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Beliebt Rechnen >

derivative-cos^2(x)

Lösung

ableitung von

- cos^{2} (x)

Lösung

sin (2 x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= - 2 cos (x) (- sin (x))

Vereinfache

- 2 cos (x) (- sin (x)) : sin (2 x)

= sin (2 x)

Graph

Beliebte Beispiele

derivative 8/(x-2)

d er i v a t i v e \frac{8}{x - 2}

integral of 6sin(3x)-cos(2x)

\int 6 sin (3 x) - cos (2 x) d x

derivative of ln(sin(x^2+1))

\frac{d}{d x} (ln (sin (x^{2}) + 1))

integral of 4x^6-2x^3+7x-4

\int 4 x^{6} - 2 x^{3} + 7 x - 4 d x

integral from 2 to 5 of 1/(x^2)

\int_{2}^{5} \frac{1}{x ^{2}} d x