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Beliebt Rechnen >

derivative y=5x^8-6x+12

Lösung

ableitung von

y = 5 x^{8} - 6 x + 12

Lösung

40 x^{7} - 6

Schritte zur Lösung

\frac{d}{d x} (5 x^{8} - 6 x + 12)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{8}) - \frac{d}{d x} (6 x) + \frac{d}{d x} (12)

\frac{d}{d x} (5 x^{8}) = 40 x^{7}

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (12) = 0

= 40 x^{7} - 6 + 0

Vereinfache

= 40 x^{7} - 6

Graph

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