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 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)=

The function f (x) satisfy the equation f (1-x)+ 2f (x) =3x AA x in R, then f (0)=

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: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 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 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) =