What is (d^2)/(dx^2)((x^2)/(5+x)) ?

The answer to (d^2)/(dx^2)((x^2)/(5+x)) is (50)/((5+x)^3)

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(d^2)/(dx^2)((x^2)/(5+x))

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{5 + x})

\frac{50}{( 5 + x ) ^{3}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{5 + x})

\frac{d}{d x} (\frac{x ^{2}}{5 + x}) = \frac{10 x + x ^{2}}{( 5 + x ) ^{2}}

= \frac{d}{d x} (\frac{10 x + x ^{2}}{( 5 + x ) ^{2}})

\frac{d}{d x} (\frac{10 x + x ^{2}}{( 5 + x ) ^{2}}) = \frac{50}{( 5 + x ) ^{3}}

= \frac{50}{( 5 + x ) ^{3}}

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What is (d^2)/(dx^2)((x^2)/(5+x)) ?
The answer to (d^2)/(dx^2)((x^2)/(5+x)) is (50)/((5+x)^3)