Maths

Posted by anon_econ on Dec 20, 2011; 2:15pm
URL: http://discussion-forum.276.s1.nabble.com/Maths-tp7111879.html

Let f be a differentiable function satisfying f'(x)=f'(-x) for all x.
Then
(A) f is an odd function.
(B) f(x)+f(-x)=2f(0) for all x.
(C) 0.5f(x) + 0.5f(y) = f(0.5(x+y)) for all x,y
(D) If f(1) = f(2), then f(-1) = f(-2)