What is (d^2)/(dx^2)((30x)/((x^2+6)^2)) ?

The answer to (d^2)/(dx^2)((30x)/((x^2+6)^2)) is -(360x(-x^2+6))/((x^2+6)^4)

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(d^2)/(dx^2)((30x)/((x^2+6)^2))

\frac{d ^{2}}{d x ^{2}} (\frac{30 x}{( x ^{2} + 6 ) ^{2}})

- \frac{360 x ( - x ^{2} + 6 )}{( x ^{2} + 6 ) ^{4}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (\frac{30 x}{( x ^{2} + 6 ) ^{2}})

\frac{d}{d x} (\frac{30 x}{( x ^{2} + 6 ) ^{2}}) = \frac{90 ( - x ^{2} + 2 )}{( x ^{2} + 6 ) ^{3}}

= \frac{d}{d x} (\frac{90 ( - x ^{2} + 2 )}{( x ^{2} + 6 ) ^{3}})

\frac{d}{d x} (\frac{90 ( - x ^{2} + 2 )}{( x ^{2} + 6 ) ^{3}}) = - \frac{360 x ( - x ^{2} + 6 )}{( x ^{2} + 6 ) ^{4}}

= - \frac{360 x ( - x ^{2} + 6 )}{( x ^{2} + 6 ) ^{4}}

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What is (d^2)/(dx^2)((30x)/((x^2+6)^2)) ?
The answer to (d^2)/(dx^2)((30x)/((x^2+6)^2)) is -(360x(-x^2+6))/((x^2+6)^4)