Question

Question: Answered & Verified by Expert

Let $f: R \rightarrow R$ be given by $f(x)=\left|x^{2}-1\right|, x \in R$. then

MathematicsApplication of DerivativesWBJEEWBJEE 2021

Options:

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