CUET Mathematics - If the maximum value of the function f(x) = _ex/x, x > 0 occurs at x = a, then a^2f''(a) is equal to | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 1

Calculus

Medium

common

$-\frac{5}{e}$

$-\frac{1}{e}$

$-\frac{1}{e^3}$

$-5e^3$

✅ Correct Option: 2

Related questions:

19 May Shift 1

Function $f(x) = x^3 - 3x + 3$ is

(A) Increasing in the interval $(-1, 1)$

(B) Increasing in the interval $(1, \infty)$

(D) Increasing in the interval $(-\infty, -1) \cup (1, \infty)$

Choose the correct answer from the options given below:

30 May Shift 2

The equation of tangent line to $y = 2x^2 + 7$ , which is parallel to the line $4x - y + 3 = 0$ is

3 June Shift 2

The two positive numbers whose sum is 16 and the sum of whose squares is minimum then the positive numbers are:

CUET Mathematics 2025 14 May Shift 1 PYQs