What is (d^2)/(dx^2)((x^2)/(9+4x)) ?

The answer to (d^2)/(dx^2)((x^2)/(9+4x)) is (162)/((9+4x)^3)

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(d^2)/(dx^2)((x^2)/(9+4x))

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{9 + 4 x})

\frac{162}{( 9 + 4 x ) ^{3}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{9 + 4 x})

\frac{d}{d x} (\frac{x ^{2}}{9 + 4 x}) = \frac{18 x + 4 x ^{2}}{( 9 + 4 x ) ^{2}}

= \frac{d}{d x} (\frac{18 x + 4 x ^{2}}{( 9 + 4 x ) ^{2}})

\frac{d}{d x} (\frac{18 x + 4 x ^{2}}{( 9 + 4 x ) ^{2}}) = \frac{162}{( 9 + 4 x ) ^{3}}

= \frac{162}{( 9 + 4 x ) ^{3}}

What is (d^2)/(dx^2)((x^2)/(9+4x)) ?
The answer to (d^2)/(dx^2)((x^2)/(9+4x)) is (162)/((9+4x)^3)