CUET Mathematics - The function f(x) = 4x^3 - 7x^2 has point(s) of local minima at | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Calculus

Medium

common

$x = 0$

$x = 0, \frac{7}{6}$

$x = \frac{7}{6}$

$x = \frac{6}{7}$

✅ Correct Option: 3

Related questions:

14 May Shift 2

Which of the following are NOT correct regarding the equation of tangent and normal to the curve $y = \frac{x-11}{(x-2)(x-3)}$ at the point, where it cuts the $x$ -axis?

(A) The point of contact is (11, 0).

(B) The equation of tangent is $y - 72y - 11 = 0$

(D) The slope of the tangent at the given point of contact is $\frac{1}{88}$

Choose the correct answer from the options given below:

14 May Shift 2

Match List-I with List-II

The function $f(x) = 2x^3 - 15x^2 + 36x + 5$ for $x \in [2,5]$ has

List-I	List-II
(A) absolute maximum value	(I) 5
(B) absolute minimum value	(II) 60
(C) point of absolute maxima	(III) 3
(D) point of absolute minima	(IV) 32

Choose the correct answer from the options given below:

30 May Shift 2

If the cost function of a product is given by $C(x) = \frac{3}{4}x^2 - 5x + 21$ , then the marginal cost when $x = 10$ is

CUET Mathematics 2025 3 June Shift 1 PYQs

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