A) a local maximum
B) a local minimum
C) no local extremum
D) no local maximum
Correct Answer: C
Solution :
Given that, \[f(x)=\left\{ \begin{matrix} |x|,\,\,\,\,for\,\,\,0<|x|\le 2 \\ 1,\,\,\,\,\,\,\,\,for\,\,\,\,x=0 \\ \end{matrix} \right.\] It is clear from the graph that \[f(x)\] is not continuous and differentiable at \[x=0\]. Hence, it has no local extremum.You need to login to perform this action.
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