" v) "cos^(-1)sqrt((sqrt(1+x^(2))+1)/(2sqrt(1+x^(2))))

Differential coefficient tan^(-1)((sqrt(1-x^(2)-1))/(x)) with respect to cos^(-1)sqrt((1+sqrt(1+x^(2)))/(2sqrt(1-x^(2))))

show that , (1) /(2) tan ^(-1) x = cos^(-1) sqrt((1+sqrt(1+x^(2)))/(2sqrt(1+x^(2)))).

Write the simplest form : cos^(-1)(sqrt(((sqrt(1+x^2) +1)/(2sqrt(1+x^2))))

Write the simplest form : cos^(-1)(sqrt(((sqrt(1+x^2) +1)/(2sqrt(1+x^2))))

If y=cos^(-1)sqrt((sqrt(1+x^(2))+1)/(2sqrt(1+x^(2)))),then(dy)/(dx) is equal to (a) (1)/(2(1+x^(2))),x in R(b)(1)/(2(1+x^(2))),x>0(c)(-1)/(2(1+x^(2))),x<0 (d) (1)/(2(1+x^(2))),x<0

Derivative of tan ^(-1) ((sqrt( 1+x^(2))-1)/( x)) w.r.cos ^(-1) sqrt((1+sqrt( 1+x^(2)))/( 2sqrt(1+x^(2)))) is

If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) is equal to (a) 1/(2(1+x^2)),x in R (b) 1/(2(1+x^2)),x >0 (c) (-1)/(2(1+x^2)),x<0 (d) 1/(2(1+x^2)),x<0

If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) is equal to (a) 1/(2(1+x^2)),x in R (b) 1/(2(1+x^2)),x >0 (c) (-1)/(2(1+x^2)),x<0 (d) 1/(2(1+x^2)),x<0

Value of cos^-1 sqrt((1 + sqrt(1 + x^2))/(2sqrt(1 + x^2))) , x ge 0 is