Finding intervals of increase, decrease, and concavity for x/(x² - 9)

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so... what is left now is to try to simplify and evaluate the second derivative right?

if I'm not mistaken, after simplifying, the derivative ends like this:
f"(x)=(2x(x^2 + 27))/(x^2 - 9)^3
 
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yay! now i can sketch the graph!