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If f is a realvalued differentiable function satisfying | f( x) - f( y) | ≤ ( x - y )^2 , x, y ∈ R and f (0) = 0,

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If f is a realvalued differentiable function satisfying | f( x) - f( y) | ≤ ( x - y )2 , x, y ∈ R and f (0) = 0, then f(1) equals
(a) 1 

(b) 2 

(c) 0 

(d) – 1.

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