Let f(x) = x cos^(-1)(sin-|x|), x in (-...

Let `f(x) = x cos^(-1)(sin-|x|)`, `x in (-pi/2,pi/2)`

A

`f(0) = - pi/2`

B

f'(x) is not defined at x = 0

C

f'(x) is increasing in `( -pi/2, 0)` and f'(x) is decreasing in `(0, pi/2)`

D

f'(x) is decreasing in `( -pi/2, 0)` and f'(x) is increasing in `(0, pi/2)`

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The correct Answer is:

D

NA

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