CUET Mathematics - For the function f(x) = e^x + e^-x (A) f'(x) = e^x - e^-x (B) The critical point is x = 0 (C) The minimum value is 1 (D) x = 0 is the point of local minimum. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 2

Calculus

Medium

core

(A), (B) and (D) only

(B), (C) and (D) only

(A) and (D) only

✅ Correct Option: Drop

Related questions:

13 May Shift 2

The function $f(x) = \frac{x}{2} + \frac{2}{x}, x \neq 0$ is increasing on

(A) $(-\infty, -2)$

(B) $(-2, 2)$

(D) $(-1, 1)$

Choose the correct answer from the options given below:

13 May Shift 1

In which of the following intervals, the function $f(x) = -x^2 - 2x + 15$ is decreasing?

29 May Shift 2

Let $f(x) = 4x^3 - 18x^2 + 27x - 5$ , $x \in R$ . Then which of the following statements are TRUE?

(A) $f''(x) = 24x - 36$

(B) f has local maxima at $x = \frac{3}{2}$ but no minima

(D) f has both maxima and minima

Choose the correct answer from the options given below:

CUET Mathematics 2025 30 May Shift 2 PYQs