If `y=2/(sqrt(a^2-b^2)){tan^(-1)((a-b)/(a+b))tanx/2}` , then show that `(d^2y)/(dx^2)=(bsinx)/((a+bcosx)^2)`

If y=2/(sqrt(a^2-b^2)){tan^(-1)sqrt((a-b)/(a+b))tan(x/2)} , then show that (d^2y)/(dx^2)=(bsinx)/((a+bcosx)^2)

If y=2/(sqrt(a^2-b^2))tan^(-1){sqrt((a-b)/(a+b))tan(x/2)} , then show that (d^2y)/(dx^2)=(bsinx)/((a+bcosx)^2)

"If "y=(2)/(sqrt(a^(2)-b^(2))){tan^(-1)(sqrt((a-b)/(a+b))tan""(x)/(2))}," then show that "(d^(2)y)/(dx^(2))=(b sin x)/((a+b cos x)^(2)).

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):|

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)|

If y=1/(sqrt(a^2-b^2))cos^(- 1)((acosx+b)/(a+bcosx)), then (d^2y)/(dx^2)= (i) (bsinx)/(a+bcosx)^2 (ii) -(bsinx)/(a+bcosx)^2 (iii) (bcosx)/(a+bcosx)^2 (iii) -(bcosx)/(a+bcosx)^2

If y=2/(sqrt (a^2-b^2)) tan ^-1 [(sqrt( a-b)/(a+b)) tan x/2] , show thatdy/dx= 1/(a+b cos x) and (d^2y)/(dx^2)= (bsinx)/((a+b scos x)^2)

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 .

If y = 2/(sqrt(a^2 - b^2)) "tan"^(-1) (sqrt((a + b)/(a - b)) " tan " x/2) , prove that (dy)/(dx) = 1/(a - b cos x)