given:
we are trying to find so then, wouldn't you want to isolate y?
eventually you want a
instead the book starts turning the original formula on this page into a derivative. I am in grants notes and have been stuck on this question for some time. If I work on it more I'll update this but if anyone thinks they can explain it, please do.
Plato used a method called "implicit differentiation" where he did not need to isolate y.
Yes, that's what "implicit differentiation" is. For example, differentiating " " with respect to x, you first use the product rule to say that is [tex](x)'y^2+ x(y^2)'[tex]. Of course, the derivative of x, with respect to x, is 1 and the derivative of with respect to x is, by the chain rule, the derivative of with respect to y times the derivative with respect to x: 2yy'. The is, the derivative of with respect to x is .eventually you want a
instead the book starts turning the original formula on this page into a derivative. I am in grants notes and have been stuck on this question for some time. If I work on it more I'll update this but if anyone thinks they can explain it, please do.