# Minimum Value

Calculus Level 3

$\large f(x)=\frac{(x+1/x)^{6}-(x^{6}+1/x^{6})-2}{(x+1/x)^{3}+(x^{3}+1/x^{3})}$

Find the minimum value of $$f(x)$$ above for real $$x>0$$.

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