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Beliebt Rechnen >

derivative f(x)=x^3+5x+7

Lösung

ableitung von

f (x) = x^{3} + 5 x + 7

Lösung

3 x^{2} + 5

Schritte zur Lösung

\frac{d}{d x} (x^{3} + 5 x + 7)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (5 x) + \frac{d}{d x} (7)

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

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

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

= 3 x^{2} + 5 + 0

Vereinfache

= 3 x^{2} + 5

Graph

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