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Beliebt Algebra >

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

Lösung

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

Lösung

\frac{d x}{d t} sin (t) + cos (t) x

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = x, g = sin (t)

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

\frac{d}{d t} (sin (t)) = cos (t)

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

Beliebte Beispiele

f (x) = (x)^{2} + 2

faktorisieren x^{m+1}-x^m

f a c t or x^{m + 1} - x^{m}

faktorisieren (x-0.2x)-0.4(x-0.2x)

f a c t or (x - 0.2 x) - 0.4 (x - 0.2 x)

faktorisieren (6sqrt(2)+2sqrt(3))/3

f a c t or \frac{6 2 + 2 3}{3}

f(x)=(tan(x))^2+(cot(x))^2

f (x) = (tan (x))^{2} + (cot (x))^{2}