If the model equation is already in a column formula, then use the Nonlinear platform. The default loss function is least squares. First, though, replace the table variable in the formula with a formula parameter. In the formula editor, click Table Columns and select Parameters. Click New Parameter, give it a name Xx, and a starting value. Select the table variable in your formula and then select the new parameter Xx to replace it.
All of the model parameters must be entered like this one. The Nonlinear platform does not provide model parameters automatically like the Fit Least Squares platform, in which you supply the predictors as columns and JMP supplies the linear parameters.