Appeared in: 2025 (3 sets)
(a) Differentiate $y = \sin^{-1} (3x - 4x^3)$ w.r.t. $x$, if $x \in \left[-\frac{1}{2}, \frac{1}{2}\right]$.
OR
(b) Differentiate $y = \cos^{-1} \left(\frac{1-x^2}{1+x^2}\right)$ with respect to $x$, when $x \in (0, 1)$.