Order, Degree and Formation
Differentiable Function f(1) Interval
Let
f be a twice differentiable function defined on R, such that
f(0)=1,
f '(0)=2 and
f ''(x) ≠ 0 for all x ϵ R.
f ''(x) ≠ 0 for all x ϵ R. If
| f (x) | f ' (x) |
| f '(x) | f " (x) |
=0, for all x ϵ R, then the value of f(1) lies in the interval