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)=?`

Let f:R rarr R be a function such that f(x+y)=f(x)+f(y),AA x,y in R

Suppose f:R rarr R^(+) be a differentiable function such that 3f(x+y)=f(x)f(y)AA x,y in R with f(1)=6. Then the value of f(2) is 6 b.9 c. 12d.15

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

Let f:R rarr R be a differential function satisfy f(x)=f(x-y)f(y)AA x,y in R and f'(0)=a,f'(2)=b then f'(-2)=

LEt F:R rarr R is a differntiable function f(x+2y)=f(x)+f(2y)+4xy for all x,y in R

Let f:R rarr R^(*) be a derivable function such that f(x+y)=3f(x)f(y),AA x,y in R with f(1)=(2)/(3) ,then sum_(r=1)^(oo)(1)/(f(r)) is equal to

Let f:R rarr R be a differentiable function satisfying 2f((x+y)/(2))-f(y)=f(x) AA x , y in R ,if f(0)=5 and f'(0)=-1 , then f(1)+f(2)+f(3) equals

Let f : R rarr R be a differentiable function satisfying f(x) = f(y) f(x - y), AA x, y in R and f'(0) = int_(0)^(4) {2x}dx , where {.} denotes the fractional part function and f'(-3) - alpha e^(beta) . Then, |alpha + beta| is equal to.......

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

Let f be a differentiable function satisfying f(x+2y)=2yf(x)+xf(y)-3xy+1 AA x , y in R such that f'(0)=1 ,then value of f(8) is equal