If f(x) = 5^(g(x)) and g(x) = Integral of tdt/ln(1+t^2) in (2, x^2), find the value of f'(sqrt(2))

If f(x) = 5^(g(x)) and g(x) = Integral of tdt/ln(1+t^2) in (2, x^2), then, find the value of f'(sqrt(2))