d/(dt)((x)(t+1))

Lösung

\frac{d}{d t} ((x) (t + 1))

\frac{d x}{d t} (t + 1) + x

Schritte zur Lösung

\frac{d}{d t} ((x) (t + 1))

Wende die Produktregel an:

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

f = x, g = t + 1

= \frac{d x}{d t} (t + 1) + \frac{d}{d t} (t + 1) x

\frac{d}{d t} (t + 1) = 1

= \frac{d x}{d t} (t + 1) + 1 \cdot x

Vereinfache

= \frac{d x}{d t} (t + 1) + x

s im pl i f y (x - y + 1) (x + y - 1)

e x p an d \frac{( 4 p + 3 ) ( p + 10 )}{p ^{2}}

e x p an d (6 - x) ln (x + 5)

e x p an d sin (x) (1 + cos^{2} (x))

e x p an d (y - 1) sin (3 t) e^{c o s (3 t)}