Differentiate w.r.t. x the function `x^x+x^a+a^x+a^a ,` for some fixed `a > 0 and x > 0`.

Explanation

=`x^x+x^a+a^x+a^a`

differentiate with respect to x

=`delta/(deltax)e^(logx*x)+delta/(deltax)
(x^a)+delta/(deltax)(a^x)+delta/(deltax)(a^a)`

=`x^x(logx+1)+ax^(a-1)+e^(logax)*loga`

=`x^x(1+logx)+ax^(a-1)+a^xloga`