# Linearization problem

1. Apr 9, 2012

### FaroukSchw

Hello ,
I am trying to linearize $\dot{x}$+√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?
Regards.

2. Apr 9, 2012

### Office_Shredder

Staff Emeritus
Why are you trying to linearize it?

3. Apr 9, 2012

### FaroukSchw

hello Office_Shredder
I just got interested in it when talking to a friend about problems that we can encounter

4. Apr 9, 2012

### HallsofIvy

$\sqrt{x}$ cannot be linearized at x= 0 precisely because its derivative does not exist.