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Beliebt Rechnen >

derivative of 5e^x+4/(\sqrt[3]{x})

Lösung

\frac{d}{d x} (5 e^{x} + \frac{4}{3 x})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (5 e^{x} + \frac{4}{3 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 e^{x}) + \frac{d}{d x} (\frac{4}{3 x})

\frac{d}{d x} (5 e^{x}) = 5 e^{x}

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

= 5 e^{x} - \frac{4}{3 x ^{\frac{4}{3}}}

Graph

Beliebte Beispiele

(dy)/(dt)=7y^2t^3,y(2)=3

\frac{d y}{d t} = 7 y^{2} t^{3}, y (2) = 3

integral from 1 to 3 of t/(sqrt(3+t^2))

\int_{1}^{3} \frac{t}{3 + t ^{2}} d t

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\int \frac{2 x + 3}{x + 2} d x

d/(dt)(at-tanh(at))

\frac{d}{d t} (a t - tanh (a t))

integral from 0 to 6 of-2x

\int_{0}^{6} - 2 x d x