Let `f(x) ` be differentiable function such that `f((x+y)/(1-x y))=f(x)+f(y)AAx and y, if lim_(x ->0) f(x)/x=1/3 then f'(1)` equals

Let f(x) be differentiable function such that f((x+y)/(1-xy))=f(x)+f(y)AA x and y, if lim_(x rarr0)(f(x))/(x)=(1)/(3)thenf'(1) equals

Suppose that f is differentiable function with the property f (x + y) = f (x) + f (y) + x^2y^2 and lim_(x->0) f(x)/x= 100 then f '(x) is equal to

If f(x) be a differentiable function such that f(x+y)=f(x)+f(y) and f(1)=2 then f'(2) is equal to

Let f be differentiable function satisfying f((x)/(y))=f(x) - f(y)"for all" x, y gt 0 . If f'(1) = 1, then f(x) is

Let f be differentiable function satisfying f((x)/(y))=f(x) - f(y)"for all" x, y gt 0 . If f'(1) = 1, then f(x) is

Let f be differentiable function satisfying f((x)/(y))=f(x) - f(y)"for all" x, y gt 0 . If f'(1) = 1, then f(x) is

Let f be differentiable function satisfying f((x)/(y))=f(x) - f(y)"for all" x, y gt 0 . If f'(1) = 1, then f(x) is

Suppose that f is differentiable function with the property f(x+y)=f(x)+f(y) and lim_(x rarr0)(f(x))/(x)=100 ,then f'(2) is equal to N ,then the sum of digits of N is....

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