Thread: y' and y'' using implicit differentiation

Hi guys, having some trouble on implicit differentiation. The problem is

find y'' given x^2 - y^2 = 1

I got the answer (y^2-x^2)/y^3

Originally Posted by sleepiiee

Hi guys, having some trouble on implicit differentiation. The problem is

find y'' given x^2 - y^2 = 1

I got the answer (y^2-x^2)/y^3

Remember that you can treat y's just like the chain rule with x's. So:



and so on. Taking our first derivative:









To get the answer you had posted, you just substitute from above:





and you get:



which can be rearranged thusly:

thanks alot