the problem is to find y'' or d(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}y / d^{2}x

the equation is y^{2}= x^{2}

first i found the first derivative dy/dx = 2x / 2y = x / y

then i found the second using the quotient rule and got

y'' = (y - x(dy/dx)) / y^{2}

i plugged in y' into y'' and got

y'' = (y - (x^{2}/y)) / y^{2}

but then im stuck after that because when i simplify i get

y'' = (y^{2}- x^{2}) / y^{3}

i dont know how i can plug the original equation back in.

did i go wrong somewhere?

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# Implicit differentiation, find y''

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