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

If f(x) is a function such that f(xy)=f(x)+f(y) and f(2)=1 then f(x)=

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 y=f(x) be a differentiable function such that f(−1)=2,f(2)=−1 and f(5)=3 If the equation f (x)=2f(x) has real root. Then find f(x)

If f is a differentiable function such that f(xy)=f(x)+f(y):x,y in R, then f(e)+f((1)/(e)) is

If f(x) be a differentiable function for all positive numbers such that f(x.y)=f(x)+f(y) and f(e)=1 then lim_(x rarr0)(f(x+1))/(2x)

Given that f(x) is a differentiable function of x and that f(x) ,f(y) = f(x) + f(y) +f(xy) -2 and that f(1)=2 , f(2) = 5 Then f(3) is equal to

If f:R rarr R be a function such that f(x+2y)=f(x)+f(2y)+4xy, AA x,y and f(2) = 4 then, f(1)-f(0) is equal to

If f:R rarr R be a differentiable function such that f(x+2y)=f(x)+f(2y)+4xy, AA x,y in R , f(2)=10 , then f(3)=?