Question:
Let f: ℝ → ℝ be defined by
\(f(x)=\frac{(x^2+1)^2}{x^4+x^2+1}\) for x ∈ \(\R\).
Then, which one of the following is TRUE ?
Let f: ℝ → ℝ be defined by
\(f(x)=\frac{(x^2+1)^2}{x^4+x^2+1}\) for x ∈ \(\R\).
Then, which one of the following is TRUE ?
\(f(x)=\frac{(x^2+1)^2}{x^4+x^2+1}\) for x ∈ \(\R\).
Then, which one of the following is TRUE ?
Updated On: Oct 1, 2024
- f has exactly two points of local maxima and exactly three points of local minima
- f has exactly three points of local maxima and exactly two points of local minima
- f has exactly one point of local maximum and exactly two points of local minima
- f has exactly two points of local maxima and exactly one point of local minimum
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The Correct Option is B
Solution and Explanation
The correct option is (B) : f has exactly three points of local maxima and exactly two points of local minima.
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