Let f be a differentiable function `AA` x in R where `f(1)=1&f(3)=4&f'(x)>=1``AA` x in R then f(2) can be equal to

Let f(x) be a fourth differentiable function such f(2x^(2)-1)=2xf(x)AA x in R, then f^(iv)(0) is equal

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

If f is a differentiable function and 2f(sinx) + f(cosx)=x AA x in R then f'(x)=

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(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) =

Function f satisfies the relation f(x)+2f((1)/(1-x))=x AA x in R-{1,0} then f(2) is equal to

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(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 continuous function such that f(0)=1 and f(x)=f((x)/(7))=(x)/(7)AA x in R then f(42) is