# 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.
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,556 Linearization problem $\sqrt{x}$ cannot be linearized at x= 0 precisely because its derivative does not exist.