If `y=sqrt((a-x)(x-b))-(a-b)tan^(-1)(sqrt(a-x)/sqrt(x-b))` then `dy/dx=`

If y=sqrt((a-x)(x-b))-(a-b)tan^(-1)sqrt((a-x)/(x-b)), then find(dy)/(dx)

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

int(dx)/(sqrt(x-a)+sqrt(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 is (a)(x+(a+b))/(sqrt((a-x)(x-b))) (b) (2x-a-b)/(2sqrt(a-x)sqrt(x-b)) (c)-((a+b))/(2sqrt((a-x)(x-b))) (d) (2x+(a+b))/(2sqrt((a-x)(x-b)))

int(dx)/(sqrt(x+a)+sqrt(x+b))

If y= tan ^-1 ((x)/sqrt(a^2-x^2)) then dy/dx =?

If y=tan ^(-1) sqrt(( a-x)/( a+x)) ,then (dy)/(dx) =

y=tan^(-1)sqrt(x)then-(dy)/(dx)=

If y=sqrt(x)+(1)/(sqrt(x)) , then (dy)/(dx)=

If y=sec^(-1)((sqrt(x-1))/(x+sqrt(x)))+sin^(-1)((x+sqrt(x))/(sqrt(x-1))) , then (dy)/(dx)= ……………