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Have you considered using a negative exponent?
\[\frac{d^2}{dx^2}(20)(1+x^2)^{-1}\]

i usually use a "u-substitution" in derivatives...i suppose that makes me weird....

Enlighten me...?

Yes, I'm not wondering so much how to find it, but, rather, how to do it neatly.

(If someone has some ingenious way of managing it, et al)

y'=-40x/(1+x^2)^2 now do it again the second time

use the quotient rule

@mark_o. please stop giving out answers. You're not helping!

@mark_o. That's alright! He said he already got the answer so no harm done.

ok continue plzz...

That's all I wanted to know. Thank you.

Welcome!

Yes, thank you.

ok YW, have fun now