Has the tablet been dropped or gotten wet at all?
If not, if you know how to use and have a DMM (digital multimeter) you can use it to try start testing what may or may not be happening.
Usually when devices do not respond at all to the charger being connected, after you have tried different chargers and cables (which you’ve done) the next thing that you have to check is if the power is actually getting to the systemboard OK. (I’m assuming that the battery may be depleted and non responsive)
Initially inspect the charge port with a strong light and a magnifying glass to check if all the connectors are OK and that there is no lint or debris lodged in the port enclosure, preventing a good connection. If there appears to be an obstruction, do not use a pin or probe to try and get it out as you may damage the connectors. Use a vacuum cleaner instead to try and suck it out. If that fails, gently, very gently try a wooden toothpick to try and dislodge it.
After that you’ll have to open the tablet up and then take a good look to see if there is anything obviously amiss with the circuit boards, connectors etc, e.g. loose connectors, burnt out or cracked components etc.
if everything looks OK then unfortunately it becomes a process of trying to determine firstly if the power supply is OK to the systemboard and then moving on from there.
Without a schematic diagram or service manual this process is extremely difficult for a DIY repair. Authorised Samsung service agents are probably the best bet as they should have access to the service manuals. .
Here’s a link to the ifixit Samsung Galaxy Note 10.1 2014 Repair guides, which may be of some help, at least to gain access to the internal components.
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