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Beliebt Rechnen >

derivative of x^4-10x^2+9

Lösung

\frac{d}{d x} (x^{4} - 10 x^{2} + 9)

Lösung

4 x^{3} - 20 x

Schritte zur Lösung

\frac{d}{d x} (x^{4} - 10 x^{2} + 9)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (10 x^{2}) + \frac{d}{d x} (9)

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

\frac{d}{d x} (10 x^{2}) = 20 x

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

= 4 x^{3} - 20 x + 0

Vereinfache

= 4 x^{3} - 20 x

Graph

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