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If y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/(sq...

If `y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/(sqrt(a-x)+sqrt(x-b))` then `dy/dx` wherever it is defined is

A

`(x+(a+b))/sqrt((a-x)(x-b))`

B

`(2x-a-b)/(2sqrt((a-x)(x-b))`

C

`((a+b))/(2sqrt((a-x)(x-b)))`

D

`(2x+(a+b))/(2sqrt((a-x)(x-b)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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