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Beliebt Rechnen >

derivative 6sqrt(x)+4x^{4/5}

Lösung

ableitung von

6 x + 4 x^{\frac{4}{5}}

Lösung

\frac{3}{x ^{\frac{1}{2}}} + \frac{16}{5 x ^{\frac{1}{5}}}

Schritte zur Lösung

\frac{d}{d x} (6 x + 4 x^{\frac{4}{5}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (6 x) + \frac{d}{d x} (4 x^{\frac{4}{5}})

\frac{d}{d x} (6 x) = \frac{3}{x ^{\frac{1}{2}}}

\frac{d}{d x} (4 x^{\frac{4}{5}}) = \frac{16}{5 x ^{\frac{1}{5}}}

= \frac{3}{x ^{\frac{1}{2}}} + \frac{16}{5 x ^{\frac{1}{5}}}

Graph

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