1. Rolle’s Theorem
By Sudhanshu Saurav

2. If a function f(x) is such that:
1. f(x) is continuous in the closed interval
a<=x<=b and
2. f’(x) exists for every point given in
open interval a<x<b and
3. f(a)=f(b)
4. Then there exists at least one value of
x, say d, where a<d<b such that f’(d)=0