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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

FIGURE is decreasing iin `(-(pi)/(2),0)` and increasing in `(0,(pi)/(2))`

B

FIGURE' is incresing in `(-(pi)/(2),0)` and decreasing in `(0,(pi)/(2))`

C

FIGURE is not diFIGUREFIGUREerentiable at x=0

D

FIGURE'(0)=`-(pi)/(2)`

Text Solution

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The correct Answer is:
A
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