I have to curve sketch this function, ((x)3))/((x)2-1)(adsbygoogle = window.adsbygoogle || []).push({});

I did all of the steps, and I got this as the second derivative: ((2x(x2+3))/((x2-1)3)

I got concave up:(-1, 0)u(1, inifinity)

Concave down:(-infinity, -1)u(0,1)

Am I right?

I use -1 and 1 as the interval since they are the asymptotes.

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# Concavity of a rational function

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