Given the function: f(x)=(1+x)^3/2 -3/2 x-1 Prove that it is increasing on (0, +infinity)

. Given the function: f(x)=(1+x)^3/2 -3/2 x-1
Prove that it is increasing on (0, +infinity) analytically, without relying on a graph.

2. Find the maximum and minimum values attained by the function: f(x)=x+5/x

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