Teaching JKPSC Lecturership Mock Test Series 2024-25 Mathematical Science Analysis Continuity & Differentiability
Let f : ℝ → ℝ be defined by
\(f(x)=\frac{\left(x^2+1\right)^2}{x^4+x^2+1} \text { for } x \in \mathbb{R} \text {. }\)
Then, which one of the following is TRUE?
1
f has exactly two points of local maxima and exactly three points of local minima
2
f has exactly three points of local maxima and exactly two points of local minima
3
f has exactly one point of local maximum and exactly two points of local minima
4
f has exactly two points of local maxima and exactly one point of local minimum