question archive A function f : A->R is given to be differentiable
A function f : A->R is given to be differentiable
Subject:MathPrice: Bought3
A function f : A->R is given to be differentiable. A is an open interval.Let a121212If a012
and a (a is less than a) are two real no. in A s.t. f'(a ) not equal to f'(a).
is any no. b/w f'(a ) and f'(a ) then
(i) prove that there exist some x0 in (a1 ,a2 ) s.t. f(x0)=a0.
(ii)Show that derivative of f satisfy the conclusion of IVT theorem.
(iii) Can we conclude that derivative of f has to be continuous on interval A.
