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Beliebt Rechnen >

derivative y=5+5x^2-2x^3

Lösung

ableitung von

y = 5 + 5 x^{2} - 2 x^{3}

Lösung

- 6 x^{2} + 10 x

Schritte zur Lösung

\frac{d}{d x} (5 + 5 x^{2} - 2 x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5) + \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (2 x^{3})

\frac{d}{d x} (5) = 0

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 0 + 10 x - 6 x^{2}

Vereinfache

= - 6 x^{2} + 10 x

Graph

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