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

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 as a)`( x + ( a + b))/( sqrt(( a - x)( x - b)))` b)`( 2 x - a - b)/( 2 sqrt( a - x) sqrt( x - b))` c)`- ( (a = b))/(2 sqrt(( a - x) ( x - b)))` d)`(2 x + ( a + b))/( 2 sqrt( ( a - x) ( x - b)))`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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