f(x) is continous in [0,1], differentiable in (0,1), and f(0)=0,f(1)=1.

prove that for any positive numbers a and b, there exist http://www.mathhelpforum.com/math-he...24611319-1.gif < http://www.mathhelpforum.com/math-he...04ead3d8-1.gif in (0,1) such that

http://www.mathhelpforum.com/math-he...6a2a32df-1.gif.

P.S I have posted this thread in the calculus subforum, but it is unsolved yet. I just want somebody help me out.