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If f(x)={(-x-pi/2, x le -pi/2),(-cosx, -...

If `f(x)={(-x-pi/2, x le -pi/2),(-cosx, -pi/2ltxle0),(x-1, 0ltcle1),(lnx, x gt 1):}`

A

f(x) is continuous at `x - -pi/2`

B

f(x) is not differentiable at x = 0

C

f(x) is differentiable at x = 1

D

f(x) is differentiable at `x = -3/2`

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