derivative 1/(2sqrt(x))+1/(6x^{5/6)}

Lösung

ableitung von

\frac{1}{2 x} + \frac{1}{6 x ^{\frac{5}{6}}}

- \frac{1}{4 x ^{\frac{3}{2}}} - \frac{5}{36 x ^{\frac{11}{6}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{6 x ^{\frac{5}{6}}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{1}{2 x}) + \frac{d}{d x} (\frac{1}{6 x ^{\frac{5}{6}}})

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

\frac{d}{d x} (\frac{1}{6 x ^{\frac{5}{6}}}) = - \frac{5}{36 x ^{\frac{11}{6}}}

= - \frac{1}{4 x ^{\frac{3}{2}}} - \frac{5}{36 x ^{\frac{11}{6}}}

\frac{d}{d x} (sin (x + sin (10 x)))

\int (x - x^{3}) d x

t an g e n t y = x^{2} + 5, (- 5, 30)

\int (x^{4} + 2 x - 9) ln (x) d x

t y^{^{'}} + 2 y = sin (t), y (\frac{π}{2}) = 3