Confusion with virtual pointer of derived class

Base having a virtual function and Derived also having one virtual function like this,

class Base
{
    private:
        int i;
    public:
        Base(int data = 9):i(data)
        {
            cout << "In Base class constructor" << endl;
        }
        void display()
        {
            cout << "In Base class" << endl;
            cout << "i = " << i << endl;
        }
        virtual ~Base()
        {
            cout << "In Base class destructor" << endl;
        }
};

class Derived: public Base
{
    private:
        int j;
    public:
        Derived(int data = 10):Base(11),j(data)
        {
            cout << "In Derived class constructor" << endl;
        }
        virtual void display()
        {
            cout << "In Derived class" << endl;
            cout << "j = " << j << endl;
        }
        ~Derived()
        {
            cout << "In Derived class destructor" << endl;
        }
};

Now in gdb I see the total size of the Derived class object is 16 bytes (int+int+_vptr+_vptr), but when I print each object in gdb I'm getting confused, for base class it's showing like this

$1 = {_vptr.Base = 0x401010, i = 11} and it's fine, but for derived it's showing something like this

$2 = {<Base> = {_vptr.Base = 0x401010, i = 11}, j = 10}

I'm not seeing the virtual pointer of the derived class. As per my understanding in addition to the base class virtual pointer which is inherited, there should be one more virtual pointer in the derived class that should point to it's own virtual table. Am I doing something wrong here or is there any other way to get it?