d/(dt)((s)(s-2))

Lösung

\frac{d}{d t} ((t) (t - 2))

2 t - 2

Schritte zur Lösung

\frac{d}{d t} ((t) (t - 2))

Wende die Produktregel an:

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

f = t, g = t - 2

= \frac{d t}{d t} (t - 2) + \frac{d}{d t} (t - 2) t

\frac{d t}{d t} = 1

\frac{d}{d t} (t - 2) = 1

= 1 \cdot (t - 2) + 1 \cdot t

Vereinfache

1 \cdot (t - 2) + 1 \cdot t : 2 t - 2

= 2 t - 2

e x p an d \frac{300 0 ^{8}}{192}

e x p an d (3 i, - 1 j, - 1 k) x (2 i, j, 2 k)

e x p an d \frac{x ^{2} - 3 x - 1}{x ( x ^{2} + 9 )}

e x p an d \frac{( 2 x - 1 ) ( 2 x + 1 )}{9 x ^{4}}

e x p an d (3 y - 1) d y