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If y= f((2x+3)/(3-2x)) and f(x) = sin (l...

If `y= f((2x+3)/(3-2x)) and f(x) = sin (logx)` then `(dy)/(dx)=`

A

`12/(9+4x^2)cos(log((2x-3)/(3+2x)))`

B

`12/(9-4x^2)sin(log((2x-3)/(3+2x)))`

C

`12/(9-4x^2)cos(log((2x-3)/(3+2x)))`

D

`cos(log((2x-3)/(3+2x)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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