derivative pi*x^{1/2}-x^{1/3}

Lösung

ableitung von

π \cdot x^{\frac{1}{2}} - x^{\frac{1}{3}}

\frac{π}{2 x ^{\frac{1}{2}}} - \frac{1}{3 x ^{\frac{2}{3}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{π}{2 x ^{\frac{1}{2}}} - \frac{1}{3 x ^{\frac{2}{3}}}

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