Differentiate the following w.r.t.x `x^x+x^a+a^x+a^a` for some fixed `agt0` and `xgt0`

Explanation

`d/dx(x^x+x^a+a^x+a^a)=x^x(1+logx)+ax^(a-1)+a^xloga+0=x^x(1+logx)+ax^(a-1)+a^xloga`