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Beliebt Rechnen >

derivative f(x)=3-\sqrt[3]{x-2}

Lösung

ableitung von

f (x) = 3 - 3 x - 2

Lösung

- \frac{1}{3 ( x - 2 ) ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (3 - 3 x - 2)

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3) = 0

\frac{d}{d x} (3 x - 2) = \frac{1}{3 ( x - 2 ) ^{\frac{2}{3}}}

= 0 - \frac{1}{3 ( x - 2 ) ^{\frac{2}{3}}}

Vereinfache

= - \frac{1}{3 ( x - 2 ) ^{\frac{2}{3}}}

Graph

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