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Beliebt Rechnen >

derivative f(x)=sqrt(x)-(x+6)^6

Lösung

ableitung von

f (x) = x - (x + 6)^{6}

Lösung

\frac{1}{2 x} - 6 (x + 6)^{5}

Schritte zur Lösung

\frac{d}{d x} (x - (x + 6)^{6})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x) - \frac{d}{d x} ((x + 6)^{6})

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} ((x + 6)^{6}) = 6 (x + 6)^{5}

= \frac{1}{2 x} - 6 (x + 6)^{5}

Graph

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