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Beliebt Rechnen >

derivative of x^3-3x^2+4x-1

Lösung

\frac{d}{d x} (x^{3} - 3 x^{2} + 4 x - 1)

Lösung

3 x^{2} - 6 x + 4

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 3 x^{2} + 4 x - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (4 x) - \frac{d}{d x} (1)

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

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

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

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

= 3 x^{2} - 6 x + 4 - 0

Vereinfache

= 3 x^{2} - 6 x + 4

Graph

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