Let f be a real valued differentiable function satisfying `f(x + y) =f(x) + f(y)-xy-1, AA x, y in R` and f(1)=1. Equation ofthe normal to the graph of f(x) at the point where y=f(x) cuts the y-axis, is

Let f be a real valued differentiable function satisfying f(x + y) =f(x) + f(y)-xy-1, AA x, y in R and f(1)=1. (i) Equation ofthe normal to the graph of f(x) at the point where y=f(x) cuts the y-axis, is (ii) area enclosed by the curve y=f(x) in the first quardrant:

Let f(x) be a differentiable function satisfying f(y)f(x/y)=f(x) AA , x,y in R, y!=0 and f(1)!=0 , f'(1)=3 then

Let f(x) be a differentiable function satisfying f(y)f((x)/(y))=f(x)AA,x,y in R,y!=0 and f(1)!=0,f'(1)=3 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

Let f be a real valued function satisfying f(x+y)=f(x)+f(y) for all x, y in R and f(1)=2 . Then sum_(k=1)^(n)f(k)=

Let f be a real valued function satisfying f(x+y)=f(x)+f(y) for all x, y in R and f(1)=2 . Then sum_(k=1)^(n)f(k)=

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)=

A function satisfies the conditions f(x+y)=f(x) + f(y), AA x, y in R then f is

Let a real valued function f satisfy f(x + y) = f(x)f(y)AA x, y in R and f(0)!=0 Then g(x)=f(x)/(1+[f(x)]^2) is

Let f be a real valued function, satisfying f (x+y) =f (x) f (y) for all a,y in R Such that, f (1) =a. Then , f (x) =