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Beliebt Rechnen >

derivative f(x)=3x^4-12x^3+9

Lösung

ableitung von

f (x) = 3 x^{4} - 12 x^{3} + 9

Lösung

12 x^{3} - 36 x^{2}

Schritte zur Lösung

\frac{d}{d x} (3 x^{4} - 12 x^{3} + 9)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{4}) - \frac{d}{d x} (12 x^{3}) + \frac{d}{d x} (9)

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

\frac{d}{d x} (12 x^{3}) = 36 x^{2}

\frac{d}{d x} (9) = 0

= 12 x^{3} - 36 x^{2} + 0

Vereinfache

= 12 x^{3} - 36 x^{2}

Graph

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