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) \(f\) has a local minima at \(x=\pm 1\) and a local maxima at \(x=0\)
(D) f has neither a local maxima nor a local minima at any point
Ans: (C)
