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

Limit, Continuity and Differentiability: JEE Main 2005 Mathematics question

JEE Main 2005 · Annual, Paper 1 · Q4173

JEE Main 2005Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002

f

is a real valued differentiable function satisfying

\left| {f\left( x \right) - f\left( y \right)} \right|

\le {\left( {x - y} \right)^2}

x, y

\in R

and

f(0)

= 0, then

f(1)

equals

JEE Main 2005 · Annual, Paper 1 · Q4173

JEE Main 2005Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002

f

is a real valued differentiable function satisfying

\left| {f\left( x \right) - f\left( y \right)} \right|

\le {\left( {x - y} \right)^2}

x, y

\in R

and

f(0)

= 0, then

f(1)

equals