f(x)=)\frac{\ln(1+\sqrt{x})}{\ln(x)}

h(x) = ln(1 + sqrt(x))
g(x) = ln(x)
f(x) = h(x) / g(x)
f'(x) = f'(x)
A = (-1.9885201294838346, 1.7459265382644347)
B = (-0.5875811913646445, 1.7459265382644347)