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Beliebt Rechnen >

derivative f(x)=x^4-2x^3+x-1

Lösung

ableitung von

f (x) = x^{4} - 2 x^{3} + x - 1

Lösung

4 x^{3} - 6 x^{2} + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d x}{d x} = 1

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

= 4 x^{3} - 6 x^{2} + 1 - 0

Vereinfache

= 4 x^{3} - 6 x^{2} + 1

Graph

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