Let `f(x)` be real valued and differentiable function on `R` such that `f(x+y)=(f(x)+f(y))/(1-f(x)dotf(y))` `f(0)` is equals a. 1 b. 0 c. -1 d. none of these

Let f(x) be real valued and differentiable function on R such that f(x+y)=(f(x)+f(y))/(1-f(x)*f(y))f(x) is Odd function Even function Odd and even function simultaneously Neither even nor odd

If f(x) be a differentiable function,such that f(x)f(y)+2=f(x)+f(y)+f(xy);f'(0)=0,f'(1)=2 then find f(x)

Let f(x) be a differentiable function satisfying f(y)f((x)/(y))=f(x)AA,x,y in R,y!=0 and f(1)!=0,f'(1)=3 then

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: