how do i find minimum for this potential:(adsbygoogle = window.adsbygoogle || []).push({});

u(r)=L^2/2*m*r^2 - b*exp(-ar)/r ?

b,a - constants

L - angular momentum

m - mass

u`(r)=L^2/m+b*exp(-ar)*r(a*r-1)

(u`(r*):=0 => r*=r*(a,b,L,m) )

i plotted the function for some values of b,a,L and m and i see that for certain values there is a minimum but i just can't figure out how do i find the right r.

can anyone help/give some hint?

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# Homework Help: How do i find minimum for this potential?

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