It's possible to track DML operations (data changes) on your database based on reading transaction log.

With recovery model as full this task can be work more efficiently.

First we enable traceflag 2537 to consider reading transaction log inactive data (inactive VLFs).

Say we have a database named test and need to track a count about Table/DMLs based on a datetime range (2018-03-02 06:00 to 2018-03-02 07:00).

USE [test]
GO
 
DBCC TRACEON(2537)
GO
 
-------DELETE tracking--------
SELECT DISTINCT AllocUnitName AS [Table], COUNT(Operation) AS DELETE_rows_Count
    FROM sys.fn_dblog(NULL, NULL)
        WHERE Operation = 'LOP_DELETE_ROWS' AND AllocUnitName NOT LIKE 'sys%'
            AND AllocUnitName <> 'Unknown Alloc Unit' AND Context IN ('LCX_HEAP', 'LCX_CLUSTERED')
            AND [Transaction ID] IN (SELECT [Transaction ID] FROM sys.fn_dblog(NULL, NULL)
                                        WHERE [Begin Time] BETWEEN '2018/03/02 06:00' AND '2018/03/02 07:00')
GROUP BY AllocUnitName ORDER BY DELETE_rows_Count DESC
GO
 
-------INSERT tracking--------
SELECT DISTINCT AllocUnitName AS [Table], COUNT(Operation) AS INSERT_rows_Count
    FROM sys.fn_dblog(NULL, NULL)
        WHERE Operation = 'LOP_INSERT_ROWS' AND AllocUnitName NOT LIKE 'sys%'
            AND AllocUnitName <> 'Unknown Alloc Unit' AND Context IN ('LCX_HEAP', 'LCX_CLUSTERED')
            AND [Transaction ID] IN (SELECT [Transaction ID] FROM sys.fn_dblog(NULL, NULL)
                                        WHERE [Begin Time] BETWEEN '2018/03/02 06:00' AND '2018/03/02 07:00')
GROUP BY AllocUnitName ORDER BY INSERT_rows_Count DESC
GO
 
-------UPDATE tracking--------
SELECT DISTINCT AllocUnitName AS [Table], COUNT(Operation) AS UPDATE_rows_Count
    FROM sys.fn_dblog(NULL, NULL)
        WHERE Operation = 'LOP_MODIFY_ROW' AND AllocUnitName NOT LIKE 'sys%'
            AND AllocUnitName <> 'Unknown Alloc Unit' AND Context IN ('LCX_HEAP', 'LCX_CLUSTERED')
            AND [Transaction ID] IN (SELECT [Transaction ID] FROM sys.fn_dblog(NULL, NULL)
                                        WHERE [Begin Time] BETWEEN '2018/03/02 06:00' AND '2018/03/02 07:00')
GROUP BY AllocUnitName ORDER BY UPDATE_rows_Count DESC
GO

Important: these queries tracks all transaction states (commited, rolled back, and so on).