If `y=sqrt((a-x)(x-b))-` `(a-b)tan^(-1)sqrt((a-x)/(x-b)),t h e nfin d(dy)/(dx)dot`

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

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

If y=tan ^(-1) (sqrt( 1+x^(2))-x),then ( 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 (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)))

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

If y=(1)/(a)tan^(-1)((x)/(a))-(1)/(b)tan^(-1)((x)/(b))," then "(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

If y=2/(sqrt(a^(2)-b^(2)))tan^(-1)[sqrt((a-b)/(a+b))"tan"x/2] , prove that dy/dx=1/(a+bcosx),agtbgt0 .

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

If y=2/sqrt(a^2-b^2)tan^-1[sqrt((a-b)/(a+b))tan(x/2)] then (d_2y)/(dx^2)|(=),(x=pi/2):|