Okay so, I am having trouble figuring out what exactly to do in implicit differentiation and usage of the chain rule. Like, I keep getting the wrong answer somehow. See, from what I understand you have to find the derivative of both sides then use the chain rule or something and then solve for dy/dx? Also, when I take the derivative of complex functions things become very messy and sometimes I can't figure out if I need to simplify or leave in factored form. Especially in regards to quotient derivatives. I need a little algebra reminder, I can't remember... if I have something like 2y/2x can I just cancel out the twos?(And I know I can't cancel unless they are like terms but 2 and 2 are constants and are therefore like terms?) Also, what is a rational expression because I remember that it is illegal to cancel if there are plus and minus signs? Anyway, sometimes the entire simplification is insane because of all the stuff in the derivative. Any suggestions, I might need to clarify if need be, it's hard to explain like this.