JEE Math Practice Question
For the function $$f(x) = 4{\log _e}(x - 1) - 2{x^2} + 4x + 5,\,x > 1$$, which one of the following is NOT correct?
- A.f is increasing in (1, 2) and decreasing in (2, $$\infty$$)
- B.f(x) = $$-$$1 has exactly two solutions
- C.$$f'(e) - f''(2) < 0$$
- D.f(x) = 0 has a root in the interval (e, e + 1)
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