Let f (x) =cos x, g (x)={{:(min {f (t):0...

Let `f (x) =cos x, g (x)={{:(min {f (t):0 le t le x}",", x in[0","pi]),((sin x)-1"," , x gtpi):}` Then

g (x) is discontinuous at `x =pi`

` g (x) ` is continous for `x in [0,oo)`

`g (x)` is differentiable at `x = pi`

`g (x)` is differentiable for `x in [0,oo)`

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