If f is a real valued differentiable fun...

If f is a real valued differentiable function satisfying :
`|f(x)-f(y)|le(x-y)^(2),x,yinR` and `f(0)=0` , then `f(1)` equals :

A

1

B

2

C

0

D

`-1`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If f(x)=f'(x) and f(1) =2 , then f(3) equals :

If 2f(x) = f^(')(x) and f(0) = 3, then f(2) =

Let f be a function satisfying f(x+y)=f(x) + f(y) for all x,y in R . If f (1)= k then f(n), n in N is equal to

If f(x) is a ploynomial function satisfying f(x) . f(1/x) = f(x) + f(1/x) and f(3)=28, then f(2) is

If f(x+2y , x-2y)=x y , then f(x,y) equals

If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,yinRandf(1)=7 , then sum_(r=1)^(n)f(r) is :

If f(x) is a polynomial even function such that f(x).f(1/x)=f(x)+f(1/x) and f(2)=65 , then f(-3) =

There exists a function f(x) satisfying f(0)=1, f'(0)=-1, f(x) gt 0 , for all x, then :