A possible work-around comes from the fact that, to change a value, the user needs to change the selection first. So I would:
1) Declare a global variable called "oldValue" on top of the WS source code module:
Dim oldValue As Variant
2) Register the old value of your formula before the user types anything (let's say it's in Range("A4"), I let you adapt with the others):
Private Sub Worksheet_SelectionChange(ByVal Target As Range)
oldValue = Range("A4")
End Sub
3) Check if the change has affected the formula in the Change event:
Private Sub Worksheet_Change(ByVal Target As Range)
If Range("A4") <> oldValue Then
MsgBox "User action has affected your formula"
End If
End Sub
I've tested with a simple sum, I'm able to write cells that are not involved without any prompt but if I touch one of the cells involved in the sum the MsgBox will show up. I let you adapt for multiple cases, for user adding/removing rows (in that case I suggest to name the ranges containing the formulas you want to track) and the worksheet references.
EDIT I'd like to do it at once, not by going through 2 processes, is it possible? The problem is my macro involves a range containing more than one cell so it will be hard to store old values for 10 cells.
If ranges are next to each other, then instead of using a variable you can use a collection:
Dim oldValues As New Collection
Private Sub Worksheet_SelectionChange(ByVal Target As Range)
For j = 1 To 10
oldValues.Add Range("A" & j).Value
Next j
End Sub
Private Sub Worksheet_Change(ByVal Target As Range)
For j = 1 To 10
If Range("A" & j).Value <> oldValues(j) Then
MsgBox "The value of Range(A" & j & ") has changed"
End If
Next j
End Sub
Of course, if ranges are not close to each other, you can just store them anyway in the SelectionChange event like this:
oldValues.Add Range("A1").Value
oldValues.Add Range("B7").Value
'...
and if you done this ONCE, with 10 ranges only, it should be a reasonable solution to your problem.