CUET Mathematics - Let f(x) = 4x^3 - 18x^2 + 27x - 5, x R. Then which of the following statements are TRUE? (A) f''(x) = 24x - 36 (B) f has local maxima at x = 3/2 but no minima (C) f has neither maxima nor minima (D) f has both maxima and minima Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 29 May Shift 2

Calculus

Medium

core

(A) and (B) only

(A) and (C) only

(B) and (C) only

(A) and (D) only

✅ Correct Option: 2

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Match List-I with List-II

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For $x \in \mathbb{R}$ , if $f(x) = -(x-1)^2 + 2$ , then

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The maximum value of $\left(\frac{1}{x}\right)^x$ for $x > 0$ is

CUET Mathematics 2025 29 May Shift 2 PYQs