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

If `y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/a ,t h e n(dy)/(dx)` wherever it is defined is `(x+(a+b))/(sqrt((a-x)(x-b)))` (b) `(2x-a-b)/(2sqrt(a-x)sqrt(x-b))` `-((a+b))/(2sqrt((a-x)(x-b)))` (d) `(2x+(a+b))/(2sqrt((a-x)(x-b)))`

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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