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Beliebt Rechnen >

derivative x^3-8x^2+5x+8

Lösung

ableitung von

x^{3} - 8 x^{2} + 5 x + 8

Lösung

3 x^{2} - 16 x + 5

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 8 x^{2} + 5 x + 8)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (8 x^{2}) + \frac{d}{d x} (5 x) + \frac{d}{d x} (8)

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

\frac{d}{d x} (8 x^{2}) = 16 x

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

\frac{d}{d x} (8) = 0

= 3 x^{2} - 16 x + 5 + 0

Vereinfache

= 3 x^{2} - 16 x + 5

Graph

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