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Beliebt Rechnen >

derivative of 4x-5x^{9/10}

Lösung

\frac{d}{d x} (4 x - 5 x^{\frac{9}{10}})

Lösung

4 - \frac{9}{2 x ^{\frac{1}{10}}}

Schritte zur Lösung

\frac{d}{d x} (4 x - 5 x^{\frac{9}{10}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x) - \frac{d}{d x} (5 x^{\frac{9}{10}})

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (5 x^{\frac{9}{10}}) = \frac{9}{2 x ^{\frac{1}{10}}}

= 4 - \frac{9}{2 x ^{\frac{1}{10}}}

Graph

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