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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Graph

Beliebte Beispiele

integral of 5/(\sqrt[3]{x^2)}

\int \frac{5}{3 x ^{2}} d x

integral of 4/((x+1)(x+3))

\int \frac{4}{( x + 1 ) ( x + 3 )} d x

limit as x approaches infinity of (8^x)/(9^{x+1)}

x \to \infty lim (\frac{8 ^{x}}{9 ^{x + 1}})

integral of (32)/(1-cos(4x))

\int \frac{32}{1 - cos ( 4 x )} d x

(\partial)/(\partial x)(r(θ,x)cos(θ))

\frac{\partial}{\partial x} (r (θ, x) cos (θ))