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 equal to`:`

A

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

B

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

C

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

D

None of these

Verified by Experts

Similar Questions

Explore conceptually related problems

If y=(sqrt(x)+1/sqrt(x)).(sqrt(x)-1/sqrt(x)) then dy/dx = ….. .

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

let y=sqrt(x+sqrt(x+sqrtx...oo))) then dy//dx equals

y=sqrt(x+sqrt(x+sqrt(x)))

If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo)))) , then (dy)/(dx) is equal to

int ((1)/(sqrt(x+2)-sqrt(x)))dx=....+c

int(dx)/(sqrt(2x-x^(2)))=....

If sqrt(y+x)+sqrt(y-x)=c, where cne0 , then (dy)/(dx) has the value equal to

int(dx)/(2sqrt(x)(1+x))=...

y= sqrt(sin x + sqrt(sin x + sqrt(sin x + …….oo))) then (dy)/(dx) =………