(d)/(dx)(a^x/(b^x+c^x)+b^x/(a^x+c^x)+c^x/(b^x+a^x)) = (a^x log(a))/(b^x+c^x)-(a^x (b^x log(b)+c^x log(c)))/(b^x+c^x)^2+(b^x log(b))/(a^x+c^x)-(c^x (a^x log(a)+b^x log(b)))/(a^x+b^x)^2+(c^x log(c))/(a^x+b^x)-(b^x (a^x log(a)+c^x log(c)))/(a^x+c^x)^2
假设a>b>c合并同类项log(a/b) log(a/c) log(b/c)即可知x>0时,d/dx>0。x<0时,d/dx<0