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Linearization problem

  1. Apr 9, 2012 #1
    Hello ,
    I am trying to linearize [itex]\dot{x}[/itex]+√x = 0. The only equilibrium point is at x=0; but the derivative is not defined at this point. Does any body have a suggestion?
  2. jcsd
  3. Apr 9, 2012 #2


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    Why are you trying to linearize it?
  4. Apr 9, 2012 #3
    hello Office_Shredder
    I just got interested in it when talking to a friend about problems that we can encounter
  5. Apr 9, 2012 #4


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    [itex]\sqrt{x}[/itex] cannot be linearized at x= 0 precisely because its derivative does not exist.
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