Could someone explain how to differentiate implicitly?

Question

anonymous · Answer

do you have an example?

anonymous · Answer

Well I know the mechanics of the process. But I don't quite understanted the concept.

anonymous · Answer

For example how do I get the dy/dx if I have yx = x^3?

anonymous · Answer

do you have the correct answer for this problem?

anonymous · Answer

no I don't have an answer I just invented it

anonymous · Answer

xy = x³
Take derivative with respect to x:
y +xdy/dx  = 3x²
=>  dy/dx = (3x² - y) / x

anonymous · Answer

http://tutorial.math.lamar.edu/Classes/CalcI/ImplicitDiff.aspx Paul's online math notes is the bomb

anonymous · Answer

Thank man! you're awesome!

anonymous · Answer

It's actually simple concept :)

anonymous · Answer

It's simple for the geniuses =P

anonymous · Answer

You shouldn't think so! I understand it just because I've learned it earlier than you do :)

anonymous · Answer

ya thats what i got when i worked this problem out too but I'm not really sure what implicit differentiation really is or what it means or why its different from regular differentiation