Let `f:R to R` be given by `f(x+y)=f(x)-f(y)+2xy+1"for all "x,y in R` If f(x) is everywhere differentiable and `f'(0)=1`, then f'(x)=

Let f : R to R be defined by f (x + y) = f (x) - f (y) + 2xy + 1 AA x, y in R . If f (x) is differentiable every where and f '(0) =1, find f '(x).

Let f:R to R such that f(x+y)+f(x-y)=2f(x)f(y) for all x,y in R . Then,

Let f:R to R such that f(x+y)+f(x-y)=2f(x)f(y) for all x,y in R . Then,

Let f:R in R be a function given by f(x+y)=f(x) f(y)"for all"x,y in R "If "f(x) ne 0,"for all "x in R and f'(0)=log 2,"then "f(x)=

Let f:R to R be a function given by f(x+y)=f(x)+2y^(2)+"kxy for all "x,y in R If f(1)=2 . Find the value of f(x)

Let f:R rarr R be a function given by f(x+y)=f(x)f(y) for all x,y in R .If f'(0)=2 then f(x) is equal to

Let f:R to R be a function such that f(x+y)=f(x)+f(y)"for all", x,y in R If f(x) is differentiable at x=0. then, which one of the following is incorrect?

Let f : R to R be a function such that f(x+y) = f(x)+f(y),Aax, y in R. If f (x) is differentiable at x = 0, then

Let f : R to R be a function given by f(x+y) = f(x) + f(y) for all x,y in R such that f(1)= a Then, f (x)=

Let f : R to R be a function given by f(x+y) = f(x) + f(y) for all x,y in R such that f(1)= a Then, f (x)=