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):}`

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

f(x) is not differentiable at x = 0

f(x) is differentiable x = 1

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

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