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g:[0,pi]toR is defined as g(x)={("max"{"...

`g:[0,pi]toR` is defined as `g(x)={("max"{"sin"x,1/2},"where",x epsilon[0,(pi)/2]),("min"{"sin"x,1/2},"where",x epsilon((pi)/2,pi]):}`
then answer following question
`g(x)` is not differentiable in `(0,pi)`

A

at exactly one point

B

at exactly two points

C

at exactly three points

D

at exactly four points

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