derivative of x^{-2/5}+x^{2/5}

Lösung

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

- \frac{2}{5 x ^{\frac{7}{5}}} + \frac{2}{5 x ^{\frac{3}{5}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (x^{- \frac{2}{5}}) = - \frac{2}{5 x ^{\frac{7}{5}}}

\frac{d}{d x} (x^{\frac{2}{5}}) = \frac{2}{5 x ^{\frac{3}{5}}}

= - \frac{2}{5 x ^{\frac{7}{5}}} + \frac{2}{5 x ^{\frac{3}{5}}}

d er i v a t i v e - \frac{48}{s ^{5}}

\int_{0}^{3} π (2 7 y)^{2} d y

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

y^{^{''}} - 0.2 y^{^{'}} + 0.01 y = 0, y (0) = 13, y^{^{'}} (0) = b

\frac{d ^{2}}{d x ^{2}} (x + 7 x)