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Beliebt Rechnen >

derivative 3x^4-6x^3+1

Lösung

ableitung von

3 x^{4} - 6 x^{3} + 1

Lösung

12 x^{3} - 18 x^{2}

Schritte zur Lösung

\frac{d}{d x} (3 x^{4} - 6 x^{3} + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{4}) - \frac{d}{d x} (6 x^{3}) + \frac{d}{d x} (1)

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

\frac{d}{d x} (1) = 0

= 12 x^{3} - 18 x^{2} + 0

Vereinfache

= 12 x^{3} - 18 x^{2}

Graph

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