CUET Mathematics 2026 30th May Shift 1 PYQs

If $\frac{d}{dx}[ax^3 + ax^2 + ax + 1] = 9x^2 + 6x + 3$, then $a$ is equal to

If $y = ax^{n+2} + \dfrac{b}{x^{n+1}}$, then $x^2\dfrac{d^2y}{dx^2}$ is equal to

If $x = t^{1/2}$, $y = t^{3/2}$, then $\frac{dy}{dx}$ =