Q 1235667562.     Find the derivative with respect to `x` of the function

`y = {(log_(cos x) sin x) (log_(sin x) cos x)^1 +sin^1 ((2x)/(1+x^2))}`

at `x=π/4`

JEE 1984
A

`8/(log_e 2)+16/(16+π^2)`

B

`- 8/log_e 2+16/(16+π^2)`

C

`8/log_e 2+32/(16+π^2)`

D

`−8/log_e 2+32/(16+π^2)`

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