Well, if you actually want to find and not , then you will just differentiate the derivative you already have, i.e.
Hi there. Well, I wanted to know how to find the second derivatives of a function using implicit differentiation. Is it possible? I think it is. I think I must use the chain rule somehow, but I don't know how... I'm in multivariable calculus since the function I'm gonna use could be seen as a function of only one variable.
An ellipse:
So we have the partial derivatives:
,
,
So then, using implicit differentiation:
But now if I wanna find how should I proceed?