derivative 3x^2-8x-sqrt(x)

Lösung

ableitung von

3 x^{2} - 8 x - x

6 x - 8 - \frac{1}{2 x}

Schritte zur Lösung

\frac{d}{d x} (3 x^{2} - 8 x - x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (8 x) - \frac{d}{d x} (x)

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

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (x) = \frac{1}{2 x}

= 6 x - 8 - \frac{1}{2 x}

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