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Beliebt Rechnen >

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

Lösung

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

Lösung

8 x^{3}

Schritte zur Lösung

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

Vereinfache

2 x^{4} + x^{2} - x^{2} + 4 : 2 x^{4} + 4

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (2 x^{4}) = 8 x^{3}

\frac{d}{d x} (4) = 0

= 8 x^{3} + 0

Vereinfache

= 8 x^{3}

Graph

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