# Linearization problem

by FaroukSchw
Tags: linearization
 P: 6 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.
 Mentor P: 4,499 Why are you trying to linearize it?
 P: 6 hello Office_Shredder I just got interested in it when talking to a friend about problems that we can encounter
Math
Emeritus
$\sqrt{x}$ cannot be linearized at x= 0 precisely because its derivative does not exist.