y=sin^(-1)(1)/(sqrt(1+x^(2)))+tan^(-1)((sqrt(1+x^(2))-1)/(x))

y=sin^(-1)((x)/(sqrt(1+x^(2))))+cos^(-1)((1)/(sqrt(1+x^(2))))

y = sin^(-1)(x/sqrt(1+x^2)) + cos^(-1)(1/sqrt(1+x^2))

Find (dy)/(dx) , when y="tan"^(-1)(x)/(1+sqrt(1-x^(2)))+sin(2 tan^(-1)sqrt((1-x)/(1+x)))

Find (dy)/(dx) when (y-tan^(-1))(x)/(1+sqrt(1-x^(2)))+sin[2tan^(-1)sqrt((1-x)/(1+x))]

(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)

Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1)x/(sqrt(1-x^(2))) (iii) "cot"^(-1)(sqrt(1-x^(2)))/x

Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1)x/(sqrt(1-x^(2))) (iii) "cot"^(-1)(sqrt(1-x^(2)))/x

cos^(-1)x= 2 sin ^(-1) sqrt((1-x)/(2))=2 cos ^(-1)""sqrt((1+x)/(2))=2tan^(-1)""(sqrt(1-x^(2)))/(1+x)

Find (dy)/(dx) when y=tan^(- 1)(x/(1+sqrt(1-x^2)))+sin[2tan^(- 1)sqrt((1-x)/(1+x))] ?