Which of the following best describes a critical number of a function f defined on an open interval?
a) A number c in the domain of f for which f′′(c)=0.
b) A number c in the domain of f for which f′(c)=0.
c) A number c in the domain of f for which f′(c)=0 or f′(c) does not exist.
d) A number c in the domain of f for which f(c)=0.