d/(dt)((s)(5+3t-2t^2))

Lösung

\frac{d}{d t} ((s) (5 + 3 t - 2 t^{2}))

s (- 4 t + 3)

Schritte zur Lösung

\frac{d}{d t} ((s) (5 + 3 t - 2 t^{2}))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= s \frac{d}{d t} (5 + 3 t - 2 t^{2})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= s (\frac{d}{d t} (5) + \frac{d}{d t} (3 t) - \frac{d}{d t} (2 t^{2}))

\frac{d}{d t} (5) = 0

\frac{d}{d t} (3 t) = 3

\frac{d}{d t} (2 t^{2}) = 4 t

= s (0 + 3 - 4 t)

Vereinfache

= s (- 4 t + 3)

e x p an d (- 2 a^{3} e - a^{4})^{2} (- 6 a^{2})

e x p an d (r - 6) e^{4}

e x p an d \frac{0.4 s + 1}{s ^{2} ( s + 0.6 )}

e x p an d \frac{( 2 k + 1 ) ( k + 2 )}{2}

e x p an d \frac{4 ( k + 2 ) ^{2} ( k + 1 )}{3}