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

`"If "f(x)={{:(,-x-(pi)/(2),x le -(pi)/(2)),(,-cos x,-(pi)/(2) lt x le 0),(,x-1,0 lt x le 1),(,"In "x,x gt 1):}` then which one of the following is not correct?(a)f(x) is continuous at `x = - (pi)/(2)` (b)f(x) is not differentiable at x = 0 (c)f(x) is differentiable x = 1 (d) none of them

A

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

B

f(x) is not differentiable at x = 0

C

f(x) is differentiable x = 1

D

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

Text Solution

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The correct Answer is:
D
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