The answer to 'how to unclog bathtub' is to first try using a plunger to dislodge the clog. Firmly place the plunger over the drain opening and plunge up and down vigorously 10-15 times. This can often break up the clog and allow the water to drain.
If the plunger doesn't work, you can try using a drain snake or auger to physically remove the clog. Carefully insert the snake into the drain and turn the handle to extend the cable down into the pipe. When you feel resistance, turn the handle in reverse to pull the clog back up and out of the drain.