(iv)quad sin^(-1)sqrt((1+x^(2))/(2))

Differentiate sin^(-1)sqrt((1+x^(2))/(2)) using suitable substitution.

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

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

Differentiate the following w.r.t. x : sin^(-1)(sqrt((1+x^(2))/2)) .

Prove that sin^(-1)x+sin^(-1)sqrt(1-x^(2))=(pi)/(2)

The complete solution set of the equation sin^(-1) sqrt((1+x)/(2))-sqrt(2-x)=cot^(-1)(tan sqrt(2-x))-sin^(-1) sqrt((1-x)/(2)) is :

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