If f(x)={{:(,1,x lt 0),(,1+sin x,0 le x ...

If `f(x)={{:(,1,x lt 0),(,1+sin x,0 le x lt (pi)/(2)):}` then derivative of `f(x)` at `x=0`

A

1

B

0

C

`infty`

D

does not exist

Verified by Experts

The correct Answer is:

D

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