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if f(x) ={{:(-x=(pi)/(2),xle -(pi)/(2))...

`if f(x) ={{:(-x=(pi)/(2),xle -(pi)/(2)),(- cos x, -(pi)/(2)lt x ,le 0),( x-1, 0 lt x le 1),("in"x, x gt1):}`

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 = - (pi)/(2)`

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The correct Answer is:
A, B, C, D
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