What is (d^2)/(dx^2)(1/(sqrt(1-x^2))) ?

The answer to (d^2)/(dx^2)(1/(sqrt(1-x^2))) is (2x^2+1)/((1-x^2)^{5/2)}

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

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

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

Solution steps

\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}}}

\int 2 y arctan (x) d y

y^{^{''}} - 2 y^{^{'}} - 24 y = 0, y (0) = - 1, y^{^{'}} (0) = 14

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What is (d^2)/(dx^2)(1/(sqrt(1-x^2))) ?
The answer to (d^2)/(dx^2)(1/(sqrt(1-x^2))) is (2x^2+1)/((1-x^2)^{5/2)}