p_kprsBI computes the first derivative as a function of s using an analytical formula
1  | p_kprsBI(s, N, psqrd)
 | 
s | 
 The value needed for the first derivative to equal log(lambdaBI)  | 
N | 
 Number of columns in a data matrix  | 
psqrd | 
 A vector of squared eigenvalues  | 
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