What is the difference between implicit differentiation and differentiation? I know that in problems dealing with rates of change that implicit differentiation is used, however how does this compare to just "regular" differentiation? 
The terminology differentiation just means finding the derivative

With "regular" differentiation (bad term, I know) you can write one variable as a function of the other and then just go to town taking the derivatives.   But what happens when you cannot express one as a function of the other?  That is where the technique of implicit differentiation comes in.   It does just get you the derivative, but for expressions that are difficult to solve "regularly".
