CUET Mathematics - For the function f(x)=ax^3-9ax^2+9x+3, x R, then which of the following statements are True? (A) f'(x)=3[ax^2-6ax+3] (B) It is increasing for a[0,1/3]\ x R (C) It is increasing for a(-∞,0)\ x R (D) It is increasing for a R Choose the **correct** answer from the options given below: | PYQs + Solutions | AfterBoards

CUET Mathematics 2026 12th May Shift 2 PYQs

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CUET Mathematics 2026 12th May Shift 2

Calculus

>

Hard

core

(A) and (C) only

(A) and (B) only

(B) and (C) only

(C) and (D) only

✅ Correct Option: 2

Related questions:

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The maximum value of $x^{-x}$ is

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If $y = a\log x + bx^2 + x$ has extreme values at $x = 1$ and $x = 2$ , then

22 May Shift 1

Match List-I with List-II

List-I	List-II
Function	Increasing on the interval
(A) $f(x) = -x^2 - 2x + 1$	(I) $(-\infty, -1)$
(B) $f(x) = x^2 + 1$	(II) $(1, \infty)$
(C) $f(x) = x^2 - 2x + 3$	(III) $(-\infty, 0)$
(D) $f(x) = -x^2$	(IV) $(0, \infty)$

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