can you please try to modified your code like this...
sqlcmdInsertPhysicalNote.CommandText = "INSERT INTO DriverPhysicalNotes
(DriverInformationID, PhysicalNoteDate, PhysicalNote) VALUES ('" +
ddlDriverName.SelectedValue + "','" + DateTime.Now.ToShortDateString() +
"','" + txtNotes.Text.Replace("'","''") + "')";
One more thing, always be sure that, when you are giving user a text box which is accepting any string value like Memo, Notes, Description etc.. or anything at that time always tack care for ' (quot) you always need to replace it with '' (double quot).