CUET Mathematics - If y = ^-1 /x+1 + ^-1sqrt(x+1/x), then dy/dx is | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 2

Calculus

Hard

core

$\frac{1}{\sqrt{x+1}}$

$\frac{1}{\sqrt{x}}$

✅ Correct Option: 1

Related questions:

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Differentiation of $\frac{x^3}{1 - x^3}$ with respect to $x^3$ is equal to:

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Let $y = \sin(\cos x^2)$ , then the value of $\frac{dy}{dx}$ at $x = \frac{\sqrt{\pi}}{2}$ is equal to

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Match List-I with List-II

List-I	List-II
Function	Property
(A) $f(x) = \frac{x}{\|x\|}$ for $x \neq 0$ and $f(0) = 0$	(I) continuous but not differentiable at $x=0$
(B) $f(x) = \|x\|$	(II) continuous but not differentiable at $x=1$
(C) $f(x) = \|x^2 - 1\|$	(III) discontinuous at $x = 0$
(D) $f(x) = \|x - 1\|$	(IV) continuous but not differentiable at $x = 1, -1$

Choose the correct answer from the options given below:

CUET Mathematics 2025 21 May Shift 2 PYQs