CUET Mathematics - If y = _e( e^x^2) then dy/dx = | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Calculus

Medium

core

$x^2e^{x^2} \tan e^{x^2}$

$2xe^{x^2} \tan e^{x^2}$

$e^{x^2} \tan e^{x^2}$

$xe^{x^2} \tan e^{x^2}$

✅ Correct Option: 2

Related questions:

14 May Shift 2

Match List-I with List-II

List-I	List-II
Function	Derivative
(A) $y = \sin^{-1} x + \sin^{-1} \sqrt{1 - x^2}; \|x\| < 1$	(I) $\frac{dy}{dx} = \frac{1}{2y-1}$
(B) $y = \sqrt{x + y}, x+y > 0 \text{ and } y \neq \frac{1}{2}$	(II) $\frac{dy}{dx} = 10^x \log_e 10$
(C) $y = \log_{10} x, x > 0$	(III) $\frac{dy}{dx} = 0$
(D) $y = 10^x$	(IV) $\frac{dy}{dx} = \frac{1}{x \log_e 10}$

Choose the correct answer from the options given below:

30 May Shift 2

If $y = \left(x + \sqrt{x^2+1}\right)^m$ , then $\frac{dy}{dx}$ is

CUET Mathematics 2024 Slot 1

Choose the correct answer from the options given below :

CUET Mathematics 2025 3 June Shift 1 PYQs