how to update database by editing DataGridView

I wanna update my database as i edit data grid view

how should i do this?

does adapter.update() method automatically update,insert and delete without any other code?!

i tried to do this but it seems that i had to use DataRow !

SqlCeDataAdapter adapter ;
        DataSet ds = new DataSet();
        private void comboBox1_SelectedIndexChanged(object sender, EventArgs e)
        {
            tabControl1.Visible = true;
            tabControl1.SelectedIndex = 0;
                    adapter = new SqlCeDataAdapter("select name , ID from employee", Properties.Settings.Default.Database_connection);
                    adapter.Fill(ds,"employee");
                    dataGridView1.DataSource = ds.Tables["employee"];
        }

      
        private void dataGridView1_CellEndEdit(object sender, DataGridViewCellEventArgs e)
        {
            ds = dataGridView1.DataSource as DataSet;
            adapter.Update(ds, "employee");
        }