CUET Mathematics 2025 3 June Shift 1 PYQs

If $y = \cot^{-1}\left(\frac{1-x}{1+x}\right)$ then $\frac{dy}{dx}$ equals

If $y = x^x$, $\frac{dy}{dx}$ will be:

If $f(x) = \begin{cases}\lambda x+5, & if\ x\le 2\\x+3, & if\ x>2\end{cases}$ is continuous at $x=2$, then, the value of $\lambda$ is