If `f(x)=tan^-1x,` find the relation by which f(x),f(y) and f(x+y) are connected.

If f(x) is a function satisfies the relation for all x,y in R,f(x+y)=f(x)+f(y) and if f'(0)=2 andfunction is differentiable every where,then find f(x)

If f(x) satisfies the relation f(x + y) = f(x) + f(y) AA x,y in R and f(1) = 5, Find underset (x = 1) overset m sum f(x) Also prove that f(x) is an odd function.

If f(x) is a function satisfies the relation for all xy in R,f(x+2y)-f(x)+f(2y) and If f'(0)=3 and function is differentiable every where,then find f(x)

If f(x) satisfies the relation f(x+ y) = f ( x) + f( y ) for all x, y in R and f(1) = 5 then

A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R . If f'(0) = - 1, then

A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R . If f'(0) = - 1, then

A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R . If f'(0) = - 1, then

A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R . If f'(0) = - 1, then

Let f(x)=ln((1-x)/(1+x)). Find x,y for which f(x)+f(y)=f((x+y)/(1+xy))