  We study the entropy of non-supersymmetric extremal black holes which exhibit
attractor mechanism by making use of the entropy function. This method, being
simple, can be used to calculate corrections to the entropy due to higher order
corrections to the action. In particular we apply this method for five
dimensional non-supersymmetric extremal black hole which carries two magnetic
charges and find the R^2 corrections to the entropy. Using the behavior of the
action evaluated for the extremal black hole near the horizon, we also present
a simple expression for C-function corrected by higher order corrections.
