CUET and UG exam CUET UG 2025 Mock Test Series Mathematics Differential Calculus Applications of Derivatives
Match the functions of List I with the items of List II.
|
List I |
List II |
||
|
A. |
3x4 - 2x3 - 6x2 + 6x + 1 |
I. |
has minimum value at x = 4 |
|
B. |
x + \(\frac{1}{x}\), ∀ x < 0 |
II. |
has maximum value at x = -1 |
|
C. |
x4 (7 - x)3 |
III. |
has maximum value at x = 4 |
|
D. |
x4 + (8 - x)4 |
IV. |
is decresing in [2, ∞) |
| V | is increasing in [2, ∞) | ||
The correct match is
1
(A) - (IV), (B) - (I), (C) - (II), (D) - (III)
2
(A) - (V), (B) - (IV), (C) - (I), (D) - (III)
3
(A) - (V), (B) - (II), (C) - (III), (D) - (I)
4
(A) - (IV), (B) - (II), (C) - (I), (D) - (V)