[" If "f" is a real-valued differentiable function satisfying "|f(x)-f(y)|<=(x-y)^(2),x,y in R" and "f(0)=0" ."],[" then "f(1)" equals "],[[" (1) "-1," (2) "0],[" (3) "2," (4) "1]]

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

If f is a real valued difrerentiable function satisfying | f (x) - f (y) | le (x -y) ^(2) for all, x,y in RR and f(0) =0, then f(1) is equal to-

Let f be a real valued differentiable function satisfying f(x+y)=f(x)+f(y)-xy-1,AA x,y in R and f(1)=1. Equation ofthe normal to the graph of f(x) at the point where y=f(x) cuts the y-axis,is

Let f be a real valued differentiable function satisfying f(x + y) =f(x) + f(y)-xy-1, AA x, y in R and f(1)=1. (i) Equation ofthe normal to the graph of f(x) at the point where y=f(x) cuts the y-axis, is (ii) area enclosed by the curve y=f(x) in the first quardrant:

If f is a real-valued differentiable function such that f(x) f'(x)lt0 for all real x, then

If f is a real-valued differentiable function such that f(x)f'(x)lt0 for all real x, then -

If f is a real- valued differentiable function such that f(x)f'(x) lt 0 for all real x, then