The first derivative of the D-optimality criterion with respect to the model parameters. This is a sub-function of D_weight to run one iteration of Newton-Raphson method.
| 1 | D_weight_1(q, W, T1, T2, T3, X, inv1, inv2, inv3)
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| q | A numeric vector. User select weights defined in the function RDOPT | 
| W | A numeric vector. The first K-1 weights for a given design | 
| T1 | A numeric vector. Model parameter values for the 3PL model | 
| T2 | A numeric vector. Model parameter values for the 4PL model | 
| T3 | A numeric vector. Model parameter values for the 5PL model | 
| X | A numeric vector. K dose levels for a given design | 
| inv1 | A numeric matrix. Inverse information matrix for the 3PL model | 
| inv2 | A numeric matrix. Inverse information matrix for the 4PL model | 
| inv3 | A numeric matrix. Inverse information matrix for the 5PL model | 
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