WBJEE · Maths · Application of Derivatives
Let \(f: R \rightarrow R\) be given by \(f(x)=\left|x^{2}-1\right|, x \in R\). then
- A f has a local minimum at \(x=\pm 1\) but no local maximum
- B f has a local maximum at \(x=0\) but no local minimum
- C \(\mathrm{f}\) has a local minima at \(\mathrm{x}=\pm 1\) and a local maxima at \(\mathrm{x}=0\)
- D f has neither a local maxima nor a local minima at any point
Answer & Solution
Correct Answer
(C) \(\mathrm{f}\) has a local minima at \(\mathrm{x}=\pm 1\) and a local maxima at \(\mathrm{x}=0\)
Step-by-step Solution
Detailed explanation
\(f\) has a local minima at \(x=\pm 1\) and local maximum at \(x=0\)
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