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Beliebt Rechnen >

derivative f(x)=8e^x+4/(\sqrt[3]{x)}

Lösung

ableitung von

f (x) = 8 e^{x} + \frac{4}{3 x}

Lösung

8 e^{x} - \frac{4}{3 x ^{\frac{4}{3}}}

Schritte zur Lösung

\frac{d}{d x} (8 e^{x} + \frac{4}{3 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (8 e^{x}) + \frac{d}{d x} (\frac{4}{3 x})

\frac{d}{d x} (8 e^{x}) = 8 e^{x}

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

= 8 e^{x} - \frac{4}{3 x ^{\frac{4}{3}}}

Graph

Beliebte Beispiele

derivative of cot(1-2x^2)

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

limit as x approaches 2 of 2x^2-2

x \to 2 lim (2 x^{2} - 2)

integral of (x^2)/(x^2)

\int \frac{x ^{2}}{x ^{2}} d x

integral of (2xe^{x^2})

\int (2 x e^{x^{2}}) d x

fläche y=x^3,y=x^2-2x,[0,1]

a re a y = x^{3}, y = x^{2} - 2 x, [0, 1]