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The function  \mathrm{f(x)=|\cos x|}  is

Option: 1

everywhere continuous and differentiable


Option: 2

everywhere continuous but not differentiable at   \mathrm{(2 n+1) \pi / 2, n \in Z}


Option: 3

neither continuous nor differentiable at \mathrm{(2 n+1) \pi / 2, n \in Z}


Option: 4

none of these


Answers (1)

best_answer

It can be easily seen from the graph of f(x)=|\cos x| that it is everywhere continuous butnot differentiable at odd multiples of  \pi / 2 

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manish painkra

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