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Beliebt Algebra >

d/(dt)((x)(sin^2(t)))

Lösung

\frac{d}{d t} ((x) (sin^{2} (t)))

Lösung

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

Schritte zur Lösung

\frac{d}{d t} ((x) (sin^{2} (t)))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sin^{2} (t)

= \frac{d x}{d t} sin^{2} (t) + \frac{d}{d t} (sin^{2} (t)) x

\frac{d}{d t} (sin^{2} (t)) = sin (2 t)

= \frac{d x}{d t} sin^{2} (t) + sin (2 t) x

Beliebte Beispiele

faktorisieren (-x^3-2x^2)+(x-2)

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f a c t or e^{8} - 1

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