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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

integral of (4x)/((x^2+3)^2)

\int \frac{4 x}{( x ^{2} + 3 ) ^{2}} d x

tangent f(x)= 4/x ,\at x=2

t an g e n t f (x) = \frac{4}{x}, at x = 2

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

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

integral from 4 to 16 of 1/(8-sqrt(x))

\int_{4}^{16} \frac{1}{8 - x} d x

tangent f(x)=8x^2-x^3,(2,24)

t an g e n t f (x) = 8 x^{2} - x^{3}, (2, 24)