If y=tan^(-1)((4x)/(1+5x^(2)))+tan^(-1)(...

If `y=tan^(-1)((4x)/(1+5x^(2)))+tan^(-1)((2+3x)/(3-2x))`, then `(dy)/(dx)` is equal to a)`(5)/(1+25x^(2))` b)`(1)/(1+25x^(2))` c)0 d)`(5)/(1-25x^(2))`

A

`(5)/(1+25x^(2))`

B

`(1)/(1+25x^(2))`

C

0

D

`(5)/(1-25x^(2))`

Verified by Experts

The correct Answer is:

A

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