d/(dt)((x)(t^3-t^2))

Lösung

\frac{d}{d t} ((x) (t^{3} - t^{2}))

\frac{d x}{d t} (t^{3} - t^{2}) + (3 t^{2} - 2 t) x

Schritte zur Lösung

\frac{d}{d t} ((x) (t^{3} - t^{2}))

Wende die Produktregel an:

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

f = x, g = t^{3} - t^{2}

= \frac{d x}{d t} (t^{3} - t^{2}) + \frac{d}{d t} (t^{3} - t^{2}) x

\frac{d}{d t} (t^{3} - t^{2}) = 3 t^{2} - 2 t

= \frac{d x}{d t} (t^{3} - t^{2}) + (3 t^{2} - 2 t) x

s im pl i f y - 36 (x - \frac{1}{4}) (x - 1)

e x p an d \frac{2 y ^{2} ( 3 y ^{3} + 1 )}{19}

\frac{d ^{3}}{d x ^{3}} ((y) (2 x^{4} + 3 x^{2} + 12))

e x p an d \frac{s + 1}{s ( s - 1 ) ( s ^{2} + 4 s + 16 )}

e x p an d \frac{( 2 a - b ) - 3}{4 - 2 ( 2 a - b ) ^{2}}