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Beliebt Rechnen >

derivative f(x)=8x+sqrt(x^2+7x+3)

Lösung

ableitung von

f (x) = 8 x + x^{2} + 7 x + 3

Lösung

8 + \frac{2 x + 7}{2 x ^{2} + 7 x + 3}

Schritte zur Lösung

\frac{d}{d x} (8 x + x^{2} + 7 x + 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (8 x) + \frac{d}{d x} (x^{2} + 7 x + 3)

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

\frac{d}{d x} (x^{2} + 7 x + 3) = \frac{2 x + 7}{2 x ^{2} + 7 x + 3}

= 8 + \frac{2 x + 7}{2 x ^{2} + 7 x + 3}

Graph

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