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

The answer to (d^2)/(dx^2)(xsqrt(1-x^2)) is (2x^3-3x)/((1-x^2)sqrt(1-x^2))

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

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

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

Solution steps

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

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

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

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

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

What is (d^2)/(dx^2)(xsqrt(1-x^2)) ?
The answer to (d^2)/(dx^2)(xsqrt(1-x^2)) is (2x^3-3x)/((1-x^2)sqrt(1-x^2))