Suppose that `f(0)=-3` and `f'(x)<=5` for all real values of `x`. Then the largest value of `f(2)` can attain is

Suppose that f(0)=0 and f'(0)=2, and g(x)=f(-x+f(f(x))). The value of g'(0) is equal to -

Suppose that f(0)=0 and f'(0)=2, and let g(x)=f(-x+f(f(x))). The value of g (0) is equal to

Suppose that f(0)=0 and f'(0)=2, and let g(x)=f(-x+f(f(x))). The value of g'(0) is equal to -

Let f(x+y)=f(x)*f(y)AA x,y in R suppose that f(3)=3 and f'(0)=11 then f'(3) is given by

Let f (x + y) = f(x) f(y) for all x, y, in R , suppose that f(3) = 3 and f '(0) = 2 then f '(3) is equal to-

Suppose that f(0) = 0 and f'(0) = 2 and let g(x) = f(-xf(f(x))). The value of g'(0) is equal to ........

Let a>0 and f be continuous in [-a,a]. Suppose that f'(x) exists and f'(x)<=1 for all x in(-a,a). if f(a)=a and f(-a)=-a show that f(0)=0

Let F : R to R be a thrice differentiable function . Suppose that F(1)=0,F(3)=-4 and F(x) lt 0 " for all" x in (1,3). f(x) = x F(x) for all x inR . The correct statement (s) is / are

Let F : R to R be a thrice differentiable function . Suppose that F(1)=0,F(3)=-4 and F(x) lt 0 " for all" x in (1/2,3). f(x) = x F(x) for all x inR . The correct statement (s) is / are