CUET Mathematics - If y = ^-1(1-x^2/1+x^2), 0 < x < 1, then dy/dx is equal to | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Calculus

Medium

core

$\frac{2}{1+x^2}$

$\frac{-2}{\sqrt{1-x^2}}$

$\frac{-2}{\sqrt{1+x^2}}$

$\frac{2}{\sqrt{1-x^2}}$

✅ Correct Option: 1

Related questions:

16 May Shift 1

$g(x) = \begin{cases} \frac{αx}{|x|}, & \text{if } x < 0 \\ 5, & \text{if } x ≥ 0 \end{cases}$

is continuous at x = 0, then the value of α is

19 May Shift 1

If $y^{1/m} + y^{-1/m} = 2x$ , then the value of $(x^2 - 1)\frac{d^2y}{dx^2} + x\frac{dy}{dx}$ is:

16 May Shift 1

Match List-I with List-II

List-I	List-II
(A) $f(x) = x \sin x$	(I) is not continuous at $x = -3$
(B) $f(x) = \frac{\|x\|}{x}, x \neq 0$ and $f(x) = 1 \text{ at } x = 0$	(II) is continuous everywhere
(C) $f(x) = x - [x]$ , $[x]$ denotes greatest integer function	(III) is not differentiable at $x = 1$
(D) $f(x) = e^{\|x - 1\|}$	(IV) is not continuous at $x = 0$

Choose the correct answer from the options given below:

CUET Mathematics 2025 13 May Shift 2 PYQs