Limits Continuity And Differentiability

Let \(\mathrm{k}\) and \(\mathrm{m}\) be positive real numbers such that the function $$f(x)=\left\{\begin{array}{cc}3 x^{2}+k \sqrt{x+1}, & 0 < x < 1 \\ m x^{2}+k^{2}, & x \geq 1\end{array}\right.$$ is differentiable for all \(x > 0\). Then \(\frac{8 f^{\prime}(8)}{f^{\prime}\left(\frac{1}{8}\right)}\) is equal to ____________.