If `f(x)` is a function satisfies the relation for all `x y 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) 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) 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 the functions f satisfies the relation f(x+ y ) +f( x-y) = 2f ( x) f(y) AA x, yin R and f (0) ne 0 , then

f((x+y)/(2))=(f(x)+f(y))/(2)AA x,y in R and f(0)=1 and f'(0)=-1 and function is differentiable for all x, then find f(x) .

If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx , y in R and f(0)!=0 , then

If the function f satisfies the relation f(x+y)+f(x-y)=2f(x)xxf(y), AA x, y, in R and f(0) ne 0 , then

A function f : R to R satisfies the equation f(x + y) = f(x), f(y) for all x, y in R , f(x) ne 0 . Suppose that the function is differentiable at x = 0 and f' (0) = 2. Find (f'(x))/f(x)

If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (y) for all x,y in R then f(x) is

If a real valued function f(x) satisfies the equation f(x+y)=f(x)+f(y) for all x,y in R then f(x) is

A function f : R→R satisfies the equation f(x)f(y) - f(xy) = x + y ∀ x, y ∈ R and f (1)>0 , then