  Under conformal transformation, f(R) theory of gravity in Palatini formalism
leads to a Brans-Dicke type of scalar-tensor equivalent theory with a wrong
sign in the effective kinetic energy term. This means, the effective scalar
acts as the dark energy and so late-time cosmic acceleration in
matter-dominated era is accountable. However, we unveil some aspects of
Palatini formalism, which clearly reveals the fact that the formalism is not
suitable to explain the cosmological evolution of the early universe with
$f(\mathfrak{R})$ gravity alone. Additionally, it is noticed that some authors,
in an attempt to explore Noether symmetry of the theory changed the sign of the
kinetic term and hence obtained the wrong answer. Here, we make the correction
and unmask a very interesting aspect of symmetry analysis.

General Relativity and Quantum Cosmology;Cosmology and Nongalactic Astrophysics