(d^3)/(dx^3)((1-2x)/(1+2x))

Lösung

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

- \frac{96}{( 1 + 2 x ) ^{4}}

Schritte zur Lösung

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

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

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

\frac{d}{d x} (- \frac{4}{( 1 + 2 x ) ^{2}}) = \frac{16}{( 1 + 2 x ) ^{3}}

= \frac{d}{d x} (\frac{16}{( 1 + 2 x ) ^{3}})

\frac{d}{d x} (\frac{16}{( 1 + 2 x ) ^{3}}) = - \frac{96}{( 1 + 2 x ) ^{4}}

= - \frac{96}{( 1 + 2 x ) ^{4}}

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