Let F be a real - valued function defined on the interval (0, `oo` by
f(x) = ln x +
Then which of the following statemetn (s) is (are) true?
f" (x) exists for all x `in` (0,D)
f ' (x) exists for all x `in` (0, D) and f ' is continuous on (0,`in)` but not differentiable on (0, D)
there exists `alpha` > 1 such that f ' (x) < f (x) for all x `in` (D,D)
there exists `beta` > 0 such that f(x) + f' (x) for all (0,D)