Tardigrade
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Mathematics
Let f: R arrow R be given by f(x)=|x2-1|, x ∈ R. then
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Q. Let $f: R \rightarrow R$ be given by $f(x)=\left|x^{2}-1\right|, x \in R$. then
WBJEE
WBJEE 2021
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
Solution:
$f$ has a local minima at $x=\pm 1$ and local maximum at $x=0$
