Given as sin-1 √(1 - x2)
Suppose u = sin-1 √(1 - x2) and v = cos-1x
To differentiate u with respect to v to find du/dv
On substituting x = cosθ in u
Given as x ∈ (-1,0)
Here, x = cosθ
On differentiate u with respect to x
On differentiate v with respect to x