Derivative of F (x) = (a ^ x) x ^ A

Derivative of F (x) = (a ^ x) x ^ A

f'(x)=(a^x)'*x^a+a^x(x^a)'
    =a^x*lna*x^a+a^x*a*x^(a-1)
 =a^x*x^(a-1)[a*lna+a]