CUET Mathematics 2022 25 May Shift 1 PYQs

If $e^x + e^y = e^{x+y}$, then $\frac{dy}{dx}$ =

If $x = t^3$, $y = t^2$ then $\frac{d^2y}{d^2x}$ is equal to:

The value of k for which the function, defined by, $f(x) = \begin{cases} \frac{3x + 4 \tan x}{x} & : x \neq 0 \\ k & : x = 0 \end{cases}$ is continuous at $x = 0$, is