=[(x-1)^0.5/(x-3)]*[(x-2)^2/(x-4)^2]
=[(x-1)^0.5/(x-3)]'*[(x-2)^2/(x-4)^2]+[(x-1)^0.5/(x-3)]*[(x-2)^2/(x-4)^2]'
=(2-x)*(5x+1)/[(x-1)^0.5*(x-3)^2*(x-4)^2]
=[(x-1)^0.5/(x-3)]*[(x-2)^2/(x-4)^2]
=[(x-1)^0.5/(x-3)]'*[(x-2)^2/(x-4)^2]+[(x-1)^0.5/(x-3)]*[(x-2)^2/(x-4)^2]'
=(2-x)*(5x+1)/[(x-1)^0.5*(x-3)^2*(x-4)^2]