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Beliebt Rechnen >

derivative of 5e^x+2/(\sqrt[3]{x})

Lösung

\frac{d}{d x} (5 e^{x} + \frac{2}{3 x})

Lösung

5 e^{x} - \frac{2}{3 x ^{\frac{4}{3}}}

Schritte zur Lösung

\frac{d}{d x} (5 e^{x} + \frac{2}{3 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 e^{x}) + \frac{d}{d x} (\frac{2}{3 x})

\frac{d}{d x} (5 e^{x}) = 5 e^{x}

\frac{d}{d x} (\frac{2}{3 x}) = - \frac{2}{3 x ^{\frac{4}{3}}}

= 5 e^{x} - \frac{2}{3 x ^{\frac{4}{3}}}

Graph

Beliebte Beispiele

integral from 0 to 1 of 9cos((pit)/2)

\int_{0}^{1} 9 cos (\frac{π t}{2}) d t

integral of 1/(sqrt(x^2+36))

\int \frac{1}{x ^{2} + 36} d x

derivative ln(3)

d er i v a t i v e ln (3)

derivative of ln(1/(1-x))

\frac{d}{d x} (ln (\frac{1}{1 - x}))

fläche y=4x^2,y=x^2+6

a re a y = 4 x^{2}, y = x^{2} + 6