DefectPX is a free to use program which lets you find and detect dead pixels on any LCD monitor you have, this small utility can really come handy when you are purchasing a new LCD monitor, or when you want to check your monitor under warranty period for any dead pixel.
A dead pixel on the LCD monitor is that pixel which does not illuminate properly or does not display the correct color output. It may look like an annoying black, white or any colored spot on the monitor.
This small tool is completely portable and does not require any installation, so just run the program or optionally you can also download the installer which lets you install this program like any other software.
Fixing a Dead Pixel
In order to fix a dead pixel you can refer this great tutorial here