  In this work, we take a short recap of a formal framework of the
Eddington-inspired Born-Infeld (EiBI) theory of gravity and derive the
point-like Lagrangian for underlying theory based on the use of Noether gauge
symmetries (NGS). We study a Hessian matrix and quantify Euler-Lagrange
equations of EiBI universe. We discuss the NGS approach for the
Eddington-inspired Born-Infeld theory and show that there exists the de Sitter
solution in this gravity model.
