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Beliebt Rechnen >

d/(dt)(cos(w_{0}*t))

Lösung

\frac{d}{d t} (cos (w_{0} \cdot t))

Lösung

- sin (w_{0} t) w_{0}

Schritte zur Lösung

\frac{d}{d t} (cos (w_{0} t))

Behandle

w_{0}

als Konstante

Wende die Kettenregel an:

- sin (w_{0} t) \frac{d}{d t} (w_{0} t)

= - sin (w_{0} t) \frac{d}{d t} (w_{0} t)

\frac{d}{d t} (w_{0} t) = w_{0}

= - sin (w_{0} t) w_{0}

Graph

Beliebte Beispiele

derivative ln^1(+x)

d er i v a t i v e ln^{1} (+ x)

derivative f(x)=3x^2-2x-1

d er i v a t i v e f (x) = 3 x^{2} - 2 x - 1

d/(da)(3sin^2(a)-2cos^2(a))

\frac{d}{d a} (3 sin^{2} (a) - 2 cos^{2} (a))

derivative (500)/q

d er i v a t i v e \frac{500}{q}

derivative (1+x^2)^{1/2}

d er i v a t i v e (1 + x^{2})^{\frac{1}{2}}