Question
if f is a real valued differentiable function satisfying If(x) - f(y)I ≤ (x-y)2 x,yεR and f(0) =0 then f(1) equals
(a) 1
(b) 2
(c) 0
(d) -1
Read 2 Solution.
c)
DINESH KHANNA 11 year ago
is this solution helpfull: 5 2
I {f(x)-f(y)}/(x-y) I ≤ I x-y I [ because x2 =IxI.IxI ]
I f '(x) I ≤ Ix-yI
AT X=Y , f '(x) =0
»» f(x) = constant ........ hence (c) is correct.
Best SolutionVISHAL PHOGAT 11 year ago
is this solution helpfull: 6 1