I need to remove the chuck from the drill

I believe you are in line for a different chuck.
I had this happen, and began a 3 year quest for a chuck.
Know that most chucks simply screw on the the shaft that sticks out of the drill.
They are tightly screwed on, but are removable, usually.
I recommend you try tool sales & repair places, and sooner or later, you should find a different chuck.
I does not need to be off a machine like yours, as they are sort of universal.
God bless your efforts.

I have instructions in the tip section that might help. There is usually not much difference in the removal of a corded or cordless drill. Let me know if you need more assistance.

If debris enters the chuck it may no longer turn for adjustment. Spray plenty of wd40 into chuck and allow plenty of time for oil to do its magic. Hold chuck/drill pointing down and turn drill in both directions to clean out debris. If chuck is too far gone, remove the center screw (backwards thread) and remove the chuck(threaded on). Replace the chuck with new generic part from Lowes (about $25.).

Jacobs makes a couple different kinds. You say no screw inside so I would guess it is the tapered fit. It will require a couple of shims to be driven in between the chuck and head of the drill to press the chuck off. There are tools to do this but sometimes this can be done with shims. Shim each side the same and tap them in equally. If you are familiar with the pickle fork used on auto's to remove ball-joints, something like this may work as well. I hope this helps you.

The drill uses bits with the SDS+ connection end. You have three different modes of operation. Hammer drill for drilling into concrete. Drill only for drilling into wood or steel and chip only for chiseling concrete. Now for drill only you would have to change out the chuck for a jacolbs style.

The bits just snap in the chuck. To remove the bits you just slide the chuck sleeve back and remove the bit. To change the chuck you wolulld place the palm of your hand over the chuck and using your fingers pull the sleeve on the chuck that is near the red housing towards your palm and just pull off the chuck.It will snap back on the same way.

I am guessing that you need instructions on how to use the chuck.
Put the drill in reverse, grab the chuck with one hand and then run the drill for a moment, this will loosen the chuck so you can insert a new bit into the end.
Be careful to not spin the drill too fast or you may hurt your hand.
To tighten the chuck you simply put the drill in regular/forward mode and grab the chuck while running the drill.

Most cordless drills use keyless chucks these days. Shift the drill into reverse and hold the main body of the chuck. Pull the trigger and the bit should come out. Put it into forward and run it to tighten onto a new bit.

put the drill in speed setting 1 before you continue~!

Step 1. This step loosens the screw inside the chuck. Open the chuck all the way — if you see a screw inside, it’ll need to come out before you can remove the chuck. If there’s no screw inside, you can skip steps one and two.

Step 2. If there’s a screw inside the chuck, typically the threading will be left-handed, so turn it clockwise to remove it. Be careful, and use the right size screwdriver — you don’t want to strip the screw.
Step 3. Insert the largest hex key that you have into the chuck, short-side-in, and tighten the chuck. Tap the hex key sharply in a counterclockwise direction to loosen the chuck. Now you can remove it by hand.
This won’t work for every consumer drill ever made, but pretty close. Most drills will match one of two common chuck-threading standards: 3/8′-24 threaded mount for 3/8′-capacity drill chucks, and 1/2′-20 threaded mount for 1/2′-capacity drill chucks — but on some drills just the opposite may occur. To be safe, always check the thread count before you buy a replacement drill chuck.

There are one-way (non-reversible) and two-way (reversible) drills. Mine is one-way. Methods for chuck removal are different for these two types.
Procedure for one-way (non-reversible) drills:
Drills of this type have no chuck screw, so one have to hold the spindle with a wrench, than to sharply strike the wrench with a hammer to spin it off.
Procedure for two-way (reversible) drills:
Open the chuck up and in the bottom is a screw that holds the chuck on the shaft.The screw turns in a clock wise motion to be removed and then you can top the chuck off the shaft.

I simply placed the chuck into a large vise and turned the drill counter clockwise and the chuck spun right off no problem without damaging anything!! It does have some thread lock on the chuck but just use your man strength and its as simple as turning the lid off the pickle jar! Do not waste your time or money with the removal tool...YOU DONT NEED IT!