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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

maclaurin (x^2)/((4+x^2)^2)

ma c l a u r in \frac{x ^{2}}{( 4 + x ^{2} ) ^{2}}

integral of e^x-1

\int e^{x} - 1 d x

integral of sqrt(x(x+1/x))

\int x (x + \frac{1}{x}) d x

tangent f(x)=41x-16x^2,\at x=1

t an g e n t f (x) = 41 x - 16 x^{2}, at x = 1

integral of 1/(1+sin(x)cos(x))

\int \frac{1}{1 + sin ( x ) cos ( x )} d x