" 41.If "y=sin[2tan^(-1){sqrt((1-x)/(1+x))}]," find "(dy)/(dx)

If y=sin^(-1){(sqrt(1+x)-sqrt(1-x))/(2)} , find (dy)/(dx).

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

(iv) If y=tan^(-1)(x/(1+sqrt(1-x^(2))))+sin(2tan^(-1)sqrt((1-x)/(1+x))) , then find (dy)/(dx) for x epsilon(-1,1)

If y=tan^(-1) sqrt((1-sin 4x)/(1+sin 4x)),"then " dy/dx=

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

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

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

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

If y=tan^(-1)((sqrt(1+x^(2))-1)/(x)) , then find (dy)/(dx) when -1lexle1.