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Let f(x) = sin x and "c g(x)" = {{:(max ...

Let `f(x) = sin x and "c g(x)" = {{:(max {f(t)","0 le x le pi},"for", 0 le x le pi),((1-cos x)/(2)",","for",x gt pi):}` Then, g(x) is

A

differentiable for all `x in R`

B

differentiable for all `x in R - {pi}`

C

differentiable for all `x in (0, oo)`

D

differentiable for all `x in (0, oo) - {pi}`

Text Solution

Verified by Experts

The correct Answer is:
C
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