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V(x)=(-12/x)+(x^-12)

Find the equilibrium point and the frequency of small oscillations about that point.

I think I've found the equilibrium point 'a', but using the formula V'(a)=0, and i got the answer a=1.

However, im completely stuck on finding the frequency, I've found the Lagrangian and hence the equation of motion, but then dont know what to do.

any help much appreciated!! :)