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Beliebt Rechnen >

(d^2)/(dx^2)(1/(sqrt(1-x^2)))

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

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

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