What is (d^2)/(dx^2)(((x-5)(x^2+5x+25))/(x^3)) ?

The answer to (d^2)/(dx^2)(((x-5)(x^2+5x+25))/(x^3)) is -(1500)/(x^5)

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(d^2)/(dx^2)(((x-5)(x^2+5x+25))/(x^3))

\frac{d ^{2}}{d x ^{2}} (\frac{( x - 5 ) ( x ^{2} + 5 x + 25 )}{x ^{3}})

- \frac{1500}{x ^{5}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (\frac{( x - 5 ) ( x ^{2} + 5 x + 25 )}{x ^{3}})

\frac{d}{d x} (\frac{( x - 5 ) ( x ^{2} + 5 x + 25 )}{x ^{3}}) = \frac{375}{x ^{4}}

= \frac{d}{d x} (\frac{375}{x ^{4}})

\frac{d}{d x} (\frac{375}{x ^{4}}) = - \frac{1500}{x ^{5}}

= - \frac{1500}{x ^{5}}

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What is (d^2)/(dx^2)(((x-5)(x^2+5x+25))/(x^3)) ?
The answer to (d^2)/(dx^2)(((x-5)(x^2+5x+25))/(x^3)) is -(1500)/(x^5)