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Beliebt Rechnen >

derivative y=2x^4+3x-3

Lösung

ableitung von

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

Lösung

8 x^{3} + 3

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (3) = 0

= 8 x^{3} + 3 - 0

Vereinfache

= 8 x^{3} + 3

Graph

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