Consider the Java code snippet below:

$1$

$2$

class Base $\{$

$3$

private void display$()\{$

System.out$\backslash$ println$("$Base display$()")$;

$5$

$\}$

$6$

$$

$8$

public class Derived extends Base f

$9+$

public void display$()\{$

$10$

System.out$-$println$("$Derived display$()")$;

$11$

$12$

$13$

public static void main$($String$]$ args$)\{$

$14$

Base obj $=$ new Derived$()$;

$15$

obj $.$display$()$;

Will the above code compile and run without any errors, displaying "Derived display$)"$ to the console?