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

Lösung

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

\frac{d x}{d t} t^{2} + 2 t x

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = x, g = t^{2}

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

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

= \frac{d x}{d t} t^{2} + 2 t x

f a c t or - 3 sin (40 t + 50)

f a c t or (x^{2}) + 2

f a c t or e^{x} cos (x) + e^{x} sin (x)

s im pl i f y (\frac{d ^{2} y}{d x ^{2}})^{2}

f a c t or - 2 - 23 i