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

If `f(x) = {{:(-x-pi/2" , " x le - pi/2),(-cos x" , " -pi/2 lt x le 0",""then"),(x-1", "0lt x le 1),(ln x", "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 differentiabel at `x=-3/2`

Text Solution

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