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If y=sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5...

If `y=sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5)))`, find `(dy)/(dx)`.

A

` y=( (1)/(2x-6)+ (x)/(x^(2) +4)-(3x+2)/( 3x^(2) +4x+5))`

B

` y=( (1)/(2x-6)-(x)/(x^(2) +4)+(3x+2)/( 3x^(2) +4x+5))`

C

` y=( (1)/(2x-6)-(x)/(x^(2) +4)-(3x+2)/( 3x^(2) +4x+5))`

D

` y=( (1)/(2x-6)+(x)/(x^(2) +4)+(3x+2)/( 3x^(2) +4x+5))`

Text Solution

Verified by Experts

The correct Answer is:
A
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