CUET Mathematics 2026 15th May Shift 1 PYQs

If $x = e^t$ and $y = e^{2t}$ then $\frac{d^2y}{dx^2} =$

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

Let

$f(x)=\begin{cases} |x|+3 & \text{if } x\le -3 \\ -2x & \text{if } -3<x<3 \\ 6x+2 & \text{if } x\ge 3 \end{cases}$

Then, which of the following is true?