CUET Mathematics - For the function f(x) = e^-2x(2-x)^2, the point of local maxima is: | PYQs + Solutions

CUET Mathematics 2025 27 May Shift 1

Calculus

Medium

common

$x = 1$

$x = 2$

$x = 3$

$x = 5/2$

✅ Correct Option: 3

Related questions:

15 May Shift 1

If the area of an equilateral triangle is increasing at the rate of $4\sqrt{3}$ cm²/sec, then the rate of increase of its perimeter when the side is 4cm, is

13 May Shift 2

Match List-I with List-II

List-I	List-II
(A) Point of minima of $f(x) = \|x+1\|$	(I) 1
(B) Minimum value of $f(x) = \|x\|$	(II) -1
(C) Maximum value of $f(x) = 1 - x^2$	(III) 2
(D) Minimum value of $f(x) = 2 + \sin^2 x$	(IV) 0

Choose the correct answer from the options given below:

26 May Shift 2

The edge of a cube is increasing at a rate of 7 cm/s. The rate of change of area of the cube when its side is 3 cm is:

CUET Mathematics 2025 27 May Shift 1 PYQs

Keyboard Shortcuts