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Beliebt Rechnen >

derivative of x^4-4x^3+4x^2

Lösung

\frac{d}{d x} (x^{4} - 4 x^{3} + 4 x^{2})

Lösung

4 x^{3} - 12 x^{2} + 8 x

Schritte zur Lösung

\frac{d}{d x} (x^{4} - 4 x^{3} + 4 x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (4 x^{2})

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (4 x^{2}) = 8 x

= 4 x^{3} - 12 x^{2} + 8 x

Graph

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