d/(ds)((k)(-(3s^2+10s+4)))

Lösung

\frac{d}{d s} ((k) (- (3 s^{2} + 10 s + 4)))

- k (6 s + 10)

Schritte zur Lösung

\frac{d}{d s} ((k) (- (3 s^{2} + 10 s + 4)))

Entferne die Konstante:

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

= k \frac{d}{d s} (- (3 s^{2} + 10 s + 4))

Entferne die Konstante:

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

= k (- \frac{d}{d s} (3 s^{2} + 10 s + 4))

Wende die Summen-/Differenzregel an:

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

= k (- (\frac{d}{d s} (3 s^{2}) + \frac{d}{d s} (10 s) + \frac{d}{d s} (4)))

\frac{d}{d s} (3 s^{2}) = 6 s

\frac{d}{d s} (10 s) = 10

\frac{d}{d s} (4) = 0

= k (- (6 s + 10 + 0))

Vereinfache

= - k (6 s + 10)

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