derivative of 2/(x^{1/3}-2)

Lösung

\frac{d}{d x} (\frac{2}{x ^{\frac{1}{3}}} - 2)

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

Schritte zur Lösung

\frac{d}{d x} (\frac{2}{x ^{\frac{1}{3}}} - 2)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{2}{x ^{\frac{1}{3}}}) - \frac{d}{d x} (2)

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

\frac{d}{d x} (2) = 0

= - \frac{2}{3 x ^{\frac{4}{3}}} - 0

Vereinfache

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

y^{^{''}} - 2 y^{^{'}} + 5 y = 5, y (0) = 2, y^{^{'}} (0) = 1

t an g e n t f (x) = (\frac{x - 3}{x + 1})^{2}, at x = 0

\int y e^{3 y} d y

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