(d^3)/(dx^3)((1-5x)/(1+5x))

Lösung

\frac{d ^{3}}{d x ^{3}} (\frac{1 - 5 x}{1 + 5 x})

- \frac{1500}{( 1 + 5 x ) ^{4}}

Schritte zur Lösung

\frac{d ^{3}}{d x ^{3}} (\frac{1 - 5 x}{1 + 5 x})

\frac{d}{d x} (\frac{1 - 5 x}{1 + 5 x}) = - \frac{10}{( 1 + 5 x ) ^{2}}

= \frac{d ^{2}}{d x ^{2}} (- \frac{10}{( 1 + 5 x ) ^{2}})

\frac{d}{d x} (- \frac{10}{( 1 + 5 x ) ^{2}}) = \frac{100}{( 1 + 5 x ) ^{3}}

= \frac{d}{d x} (\frac{100}{( 1 + 5 x ) ^{3}})

\frac{d}{d x} (\frac{100}{( 1 + 5 x ) ^{3}}) = - \frac{1500}{( 1 + 5 x ) ^{4}}

= - \frac{1500}{( 1 + 5 x ) ^{4}}