CUET Mathematics 2023 15 June Shift 2 PYQs

Let $y = \sin(\cos x^2)$, then the value of $\frac{dy}{dx}$ at $x = \frac{\sqrt{\pi}}{2}$ is equal to

If $e^x + e^y = e^{x+y}$, then $\frac{dy}{dx}$ =

If $x^y = e^{x-y}$, then $\frac{dy}{dx} =$