CUET Mathematics 2025 21 May Shift 2 PYQs

If $f(x) = x^3 e^{-x}$, then the value of $f''(1)$ is equal to

If $f(x) = x^3\log_e x$, Then $f''(e^2)$ is equal to

If $y = \sqrt{\sin x + \sqrt{\sin x + \sqrt{\sin x + \cdots + \infty}}}$ then $\frac{dy}{dx}$ equals to