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If y= (1)/(sqrt( 3x+ 7) )- (1)/(sqrt(7-...

If ` y= (1)/(sqrt( 3x+ 7) )- (1)/(sqrt(7-3x) ),then (dy)/(dx) ` =

A

` (3)/(2) ((1)/( (3x+7)^((3)/(2)))- ( 1)/((7-3x) ^((3)/(2))))`

B

` (-3)/(2) ((1)/( (3x+7)^((3)/(2)))- ( 1)/((7-3x) ^((3)/(2))))`

C

` (3)/(2) ((1)/( (3x+7)^((3)/(2)))+ ( 1)/((7-3x) ^((3)/(2))))`

D

` (-3)/(2) ((1)/( (3x+7)^((3)/(2)))+ ( 1)/((7-3x) ^((3)/(2))))`

Text Solution

Verified by Experts

The correct Answer is:
D
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