How to understand volatile and non-volatile registers?

In other words volatile registers are caller saved registers, as opposed to callee saved. See https://learn.microsoft.com/en-us/cpp/build/x64-calling-convention?view=vs-2019#callercallee-saved-registers

From http://www.techopedia.com/definition/8591/non-volatile-register

Volatile registers' content may change over a subroutine call.

A non-volatile register is a type of register with contents that must be preserved over subroutine calls. Whenever the value of a nonvolatile register is changed by the routine, the old value has to be saved on the stack prior to changing the register and that value has to be restored before returning. A register is similar to a variable, except that there is a fixed number of registers. Every register is a unique location in the CPU in which a single value is saved. A register is the one and only place where mathematical functions, such as addition, multiplication, subtraction, etc., can be carried out. Registers often hold pointers that refer to the memory. Moving values between memory and registers is a common phenomenon.