CUET Mathematics - The interval in which the function g(x) = x^2 e^-x is increasing is: | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Calculus

Medium

applied

$(-\infty, \infty)$

$(-2, 0)$

$(2, \infty)$

$(0, 2)$

✅ Correct Option: 4

Related questions:

CUET Mathematics 2024 Slot 1

The rate of change (in $\mathrm{cm}^{2} / \mathrm{s}$ ) of the total surface area of a hemisphere with respect to radius $r$ at $r=\sqrt[3]{1.331} \mathrm{~cm}$ is :

22 May Shift 2

The rate of change of the area of a circle with respect to its radius $r$ , when $r = 3$ cm, is:

21 May Shift 2

For the function, $f(x) = -\frac{3}{4}x^4 - 8x^3 - \frac{45}{2}x^2 - 35x$ , which of the following statements are correct?

(A) $x = -3$ and $x = -5$ are the only critical points of the given function.

(B) $x = -3$ is a point of local minimum.

(D) $x = -5$ is a point of local maximum.

Choose the correct answer from the options given below:

CUET Mathematics 2025 13 May Shift 2 PYQs

Keyboard Shortcuts