Suppose that f is differentiable for all x and that `f'(x) le2" for all "x," If "f(1)=2 and f(4)=8`, then f(2)has the value equal to ……….. .

Suppose that f is differentiable for all x and that f^(prime)(x)lt=2fora l lxdot If f(1)=2a n df(4)=8,t h e nf(2) has the value equal to 3 (b) 4 (c) 6 (d) 8

Let f be a differentiable function for all x and that |f'(x)|<=2 for all x. If f(1)=2 and f(4)=8 then compute the value of f^(2)(2)+f^(2)(3)

Let f be differentiable for all x, If f(1)=-2 and f'(x)>=2 for all x in[1,6] then find the range of values of f(6)

Suppose f is a differentiable real function such that f(x)+f^(prime)(x)lt=1 for all x , and f(0)=0, then the largest possible value of f(1) is (1) e^(-2) (2) e^(-1) (3) 1-e^(-1) (4) 1-e^(-2)

If f(x) is a differentiable function satisfying |f'(x)| le 2 AA x in [0, 4] and f(0)=0 , then