CUET Mathematics 2026 29th May Shift 2 PYQs

If $y = x^{(x \sin x)}$ then $\frac{dy}{dx} = ?$

For the greatest integer function $f(x)=[x]$, which of the following statements are correct?

A. It is continuous at all real numbers.

B. It is continuous at $x=2$ and 3.

C. It is continuous and differentiable for $x\in(2,3)$

D. It is continuous and differentiable at $x=4.5$

Choose the correct answer from the options given below:

If $e^y(x+1) = 1$, then $\dfrac{d^2y}{dx^2}$ is equal to