CUET Mathematics 2022 4 Aug Shift 1 PYQs

If $y = x^x$, then value of $\frac{dy}{dx}$ at $x = 2$ is :

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

If $y = \log\left[\frac{x^2}{e^2}\right]$ then value of $\frac{d^2y}{dx^2}$ is :