CUET Mathematics 2025 30 May Shift 2 PYQs

If $y = 3e^{2x} + 2e^{3x}$, then $\frac{d^2y}{dx^2} + 6y$ is equal to

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

If $y = \log_e(\sec e^{x^2})$ then $\frac{dy}{dx} =$