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If y= {((3x-5) ^(2//3)(x ^(2) +1) ^(3//2...

If `y= {((3x-5) ^(2//3)(x ^(2) +1) ^(3//2))/((2x + 3)^(3//2) (3x ^(2) -1) ^(1//3))}` then ` (dy)/(dx) =`

A

`y[(2)/(3x-5) + (3x )/(x ^(2) +1)-(3)/(2x +3) - (2x )/(3x ^(2) -1)]`

B

`[(2)/(3x-5) + (3x )/(x ^(2) +1) - (5)/(2x +3) + (2x )/(3x ^(2) -1)]`

C

`[(2)/(3x-5) - (3x )/(x ^(2) +1) - (5)/(2x +3) + (2x )/(3x ^(2) -1)]`

D

`[(2)/(3x-5) + (3x )/(x ^(2) +1) + (5)/(2x +3) - (2x )/(3x ^(2) -1)]`

Text Solution

Verified by Experts

The correct Answer is:
A
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