use implicit differentiation to find (d^2y)/(dx^2) y^2-x^2=4

Question

tkhunny · Answer

How far did you get?

anonymous · Answer

All I know is that dy/dx=x/y.

tkhunny · Answer

Let's see: $2y\cdot y' - 2x = 0$  Yup.  I agree.

Here's a plan for the 2nd derivative, rather than starting with the simplified form that you provided, why not use the unsimplified form that I wrote.  Is it more obvious how to proceed?

anonymous · Answer

So I would pull the derivative from the unsimplified form?

tkhunny · Answer

You can use either.  The simplified form will require you to use the Quotient Rule.  The unsimplified requires the Product Rule, instead.  Are you more comfortable with one or the other?

anonymous · Answer

I would rather use the quotient rule.