Let `f(x)` be a periodic function with period 'p' satisfying `f(x)+f(x+3)+f(x+6)+....+f(x+42)=constant AA x in R`, then sum of digits of 'p' is

Let f(x) be a periodic function with period 'p' satisfying f(x)+f(x+3)+f(x+6)+...+f(x+42)=cons tan t AA x in R ,then sum of digits of 'p' is

Let f(x) be a continuous & differentiable function on R satisfying f(-x)=f(x)&f(3+x)=f(3-x)AA x in R . If f'(1)=-5 then f'(7) =

Let f be a differentiable function satisfying f'(x)=f' (-x) AA x in R. Then

Let f be a function satisfying f(x)+f(x+1)+f(x+2)+.........+f(x+2015)=0AA X in R, then f(x) is periodic wit period

Let f(x) be a function which satisfies the relation f(x+1)+f(2x+2)+f(1-x)+f(2+x)=x+1 AA x in R then value of [f(0)] is

" Let "f(x)" be a function which satisfies the relation "f(x+1)+f(2x+2)+f(1-x)+f(2+x)=x+1AA x in R" then value of "[f(0)|" is "

Let f(x) be a function such that f(x), f'(x) and f''(x) are in G.P., then function f(x) is

Find the period of the real-valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6).

Statement -1: If f(x + a)f(x-a) = - 1 for some positive constant 'a' and for all value of x in R, then f (x) is periodic function with period equal to 4a.Statement - 2 : If f(x+T) = f(x), AA x in R and for some positive constant T, then f(x) is periodic function with period equal to T.