derivative of 3sqrt(x)-6x

Lösung

\frac{d}{d x} (3 x - 6 x)

\frac{3}{2 x} - 6

Schritte zur Lösung

\frac{d}{d x} (3 x - 6 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x) - \frac{d}{d x} (6 x)

\frac{d}{d x} (3 x) = \frac{3}{2 x}

\frac{d}{d x} (6 x) = 6

= \frac{3}{2 x} - 6

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