- #1
nicksbyman
- 19
- 0
I don't think I fully understand implicit differentiation. I have read my textbook and watched many videos, and I think I will get an A on my test on this solely by memorizing the rules, but I would really like to understand this topic. From what I know, you are supposed to use implicit differentiation when the variable of the thing you are taking the derivative of disagrees with the denominator of d/dx and when they agree use explicit differentiation. I understand that there is a problem with taking the derivative of an expression when the variables disagree, but I don't understand why you can use the chain rule when the variables disagree but you cannot use the simple power rule (i.e. d/dx [yˆ2] = 2y(dy/dx) ≠ 2y). It seems arbitrary; why are you allowed to use the chain rule and not the simple power rule?
Thanks
Thanks