1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Implicit derivative difficulties

  1. Nov 16, 2013 #1
    1. The problem statement, all variables and given/known data

    I am struggling with implicit derivatives, and though my course book includes final solutions to odd numbered exercises, it does not show the work. As such, I'm stuck in the process of getting from point A to point B:

    Find the derivative y'(x) implicitly of


    2. The attempt at a solution

    I know to start with the derivative of each side of the equation:


    Multiply both sides by [itex]y^2[/itex]


    Subtract [itex]y[/itex] and then divide both sides by [itex]-(x+3)[/itex]


    So now I have y' isolated on the left, but I still have a y' on the right that doesn't factor, and I'm not sure what to do with it. I run into a similar problem if I try to isolate y' on the right first, and I'm not sure how to procede from this point.

    The solution provided in the book is:


    Getting close, but not quite there.
  2. jcsd
  3. Nov 16, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper

    Starting from ##y-y'(x+3)=4y^2+2y^3(y')## move all of the terms containing y' to one side and factor y' out before you do anything else.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted