derivative of sqrt(x)+1/(\sqrt[3]{x})

Lösung

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

\frac{1}{2 x} - \frac{1}{3 x ^{\frac{4}{3}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (\frac{1}{3 x})

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (\frac{1}{3 x}) = - \frac{1}{3 x ^{\frac{4}{3}}}

= \frac{1}{2 x} - \frac{1}{3 x ^{\frac{4}{3}}}

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

n \to \infty lim (\frac{( - 1 ) ^{n + 1}}{( n + 3 ) \cdot n !})

\int x^{3} x^{2} - 8 d x

\int e^{3 x} sin (2 x) d x

n = 3 \sum \infty e^{3 - 6 n}