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

If `y=tan ^(-1) ((4x)/( 1+5x^(2))) +cot ^(-1) ((3-2x)/( 2+3x)),then (dy)/(dx)=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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