If `f(x+y)=f(x)f(y) AA x, y in R` and f(1) = 2 , then area enclosed by `3|x|+2|y|le 8` is

If f(x+y) = f(x).f(y) for all x and y. f(1)=2 , then area enclosed by 3|x|+2|y|le 8 is (A) f(5) sq. units (B) f(6) sq. units (C) 1/3 f(6) sq. units (D) f(4) sq. units

Let f(x+y)+f(x-y)=2f(x)f(y) AA x,y in R and f(0)=k , then

If f(x+y) = f(x) + f(y) + |x|y+xy^(2),AA x, y in R and f'(0) = 0 , then

lf f: R rarr R satisfies, f(x + y) = f(x) + f(y), AA x, y in R and f(1) = 4, then sum_(r=1)^n f(r) is

If f (x/y)= f(x)/f(y) , AA y, f (y)!=0 and f' (1) = 2 , find f(x) .

If f (x/y)= f(x)/f(y) , AA y, f (y)!=0 and f' (1) = 2 , find f(x) .

Let f be a differentiable function satisfying the condition f ((x)/(y)) = (f(x))/(f (y)) (y ne 0, f (y) ne 0) AA x, y in R and f '(1) =2. If the smaller area enclosed by y = f(x) , x ^(2)+y^(2) =2 is A, then findal [A], where [.] represents the greatest integer function.

If f(x+y)=f(x) xx f(y) for all x,y in R and f(5)=2, f'(0)=3, then f'(5)=

Let f(x+y) + f(x-y) = 2f(x)f(y) for x, y in R and f(0) != 0 . Then f(x) must be

If 2f(xy) =(f(x))^(y) + (f(y))^(x) for all x, y in R and f(1) =3 , then the value of sum_(t=1)^(10) f(r) is equal to