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Let g(x)=f(tanx)+f(cotx),AAx in ((pi)/(2...

`Let g(x)=f(tanx)+f(cotx),AAx in ((pi)/(2),pi).` If `f''(x)lt0,AAx in ((pi)/(2),pi), then `

A

g(x) is increasing in `((pi)/(2),(3pi)/(4))`

B

g(x) has local minimum at `x=(3pi)/(4)`

C

g(x) is decreasing in `((3pi)/(4),pi)`

D

g(x) has local maximum at `x=(3pi)/(4)`

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