CUET Mathematics - For f(x) = x^3 - 6x^2 + 9x + 15, which of the following statements are TRUE? (A) f'(x) = 3x^2 - 12x + 15. (B) The critical points are 3 and 1. (C) x = 1 is a point of local maxima. (D) Local minimum value is 19. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 19th May Shift 1

Calculus

Medium

core

(A) and (C) only

(A) and (D) only

(B) and (C) only

(B) and (D) only

✅ Correct Option: 3

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The total revenue received from the sale of $x$ units of a product is given by $R(x)=542+\dfrac{x^2+3}{4}$ . What will be the marginal revenue when $x=24$ ?

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If x is real, then minimum value of $x^2 - 8x + 17$ is :

29th May Shift 2

For the function $f(x) = (x-1)^3(x-2)^2$

Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	$f(x) \geq 0$	I. $x \in (-\infty,1) \cup \left(1,\frac{8}{5}\right) \cup (2,\infty)$
B.	$f(x) < 0$	II. $x \geq 1$
C.	$f(x)$ is increasing if	III. $x < 1$
D.	$f(x)$ is decreasing if	IV. $x \in \left(\frac{8}{5},2\right)$

Choose the correct answer from the options given below:

CUET Mathematics 2026 19th May Shift 1 PYQs

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