JEE Main 202224 Jun, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002For the function f(x)=4loge(x−1)−2x2+4x+5, x>1f(x) = 4{\log _e}(x - 1) - 2{x^2} + 4x + 5,\,x > 1f(x)=4loge(x−1)−2x2+4x+5,x>1, which one of the following is NOT correct?AOption A. f is increasing in (1, 2) and decreasing in (2, ∞\infty∞)BOption B. f(x) = −-−1 has exactly two solutionsCOption C. f′(e)−f′′(2)<0f'(e) - f''(2) < 0f′(e)−f′′(2)<0DOption D. f(x) = 0 has a root in the interval (e, e + 1)CheckSkip · show solution
