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Beliebt Rechnen >

derivative of 9e^x+2/(\sqrt[3]{x})

Lösung

\frac{d}{d x} (9 e^{x} + \frac{2}{3 x})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (9 e^{x} + \frac{2}{3 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (9 e^{x}) + \frac{d}{d x} (\frac{2}{3 x})

\frac{d}{d x} (9 e^{x}) = 9 e^{x}

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

= 9 e^{x} - \frac{2}{3 x ^{\frac{4}{3}}}

Graph

Beliebte Beispiele

integral from-2 to 1 of (x-8|x|)

\int_{- 2}^{1} (x - 8 ∣ x ∣) d x

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derivative of 3/(2x^2)

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ln(x)(dy)/(dx)+y/x =xln(x)

ln (x) \frac{d y}{d x} + \frac{y}{x} = x ln (x)