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Beliebt Rechnen >

derivative f(x)=5x^4-5x^2+7

Lösung

ableitung von

f (x) = 5 x^{4} - 5 x^{2} + 7

Lösung

20 x^{3} - 10 x

Schritte zur Lösung

\frac{d}{d x} (5 x^{4} - 5 x^{2} + 7)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{4}) - \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (7)

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

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

\frac{d}{d x} (7) = 0

= 20 x^{3} - 10 x + 0

Vereinfache

= 20 x^{3} - 10 x

Graph

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