" 16."cosec^(-1)((1+x^(2))/(2x))

Differentiate cosec^(-1)((1 + x^(2))/(2x)) with respect to cot^(-1)((1 - 3x^(2))/(3x - x^(3))).

Find the value of tan [ 1/2 "cosec"^(-1) ((1+x^(2))/(2x)) +1/2 sec^(-1) ((1+x^(2))/(1-x^(2)))]

(d)/(dx)["cosec"^(-1)((1+x^(2))/(2x))] is :

cosec^(-1)((1+tan ^2x)/(2tanx))

cosec^(-1)((1+tan ^2x)/(2tanx))

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

For the curve defined as y=cosec^(-1)((1+x^2)/(2x))+sec^(-1)((1+x^2)/(1-x^2)) the set of points at which the tangent is parallel to the x axis

"cosec"^(3).(1)/(x^(2))

Differentiative the following (by suitable substitutions, if valid), w.r.t.x cosec^-1((1+x^2)/(2x))

(d)/(dx)csc^(-1)((1+x^(2))/(2x))