f′(x)=4sin3xcosx−4cos3xsinx=−sin(4x).
Set f′(c)=0: sin(4c)=0⇒4c=nπ.
In (0,π/2), c=4π.
Match List - I with List - II. | List - I | List - II | |----------|-----------| | (A) The minimum value of f(x) = 8x^2 - 4x + 7 is | (I) 48 | | (B)…
CUET UG 2023 — Mathematics Applied-Mathematics
2023mcqhard
Match List - I with List - II.
| List - I | List - II |
|---|---|
| (A) The minimum value of f(x)=8x2−4x+7 is | (I) 48 |
| (B) The maximum value of f(x)=x+x1, x<0 is | (II) 13 |
| (C) The maximum slope of the curve y=−2x3+6x2+7x+26 is | (III) −2 |
| (D) The minimum value of f(x)=x2+x128 is | (IV) 213 |
Choose the correct answer from the options given below :
Official previous-year question
Held on 15 Jun 2023 · Verified 13 Jul 2026.
Options
- A
(A)-(I), (B)-(III), (C)-(II), (D)-(IV)
- B
(A)-(IV), (B)-(III), (C)-(II), (D)-(I)
- C
(A)-(II), (B)-(IV), (C)-(I), (D)-(III)
- D
(A)-(III), (B)-(IV), (C)-(II), (D)-(I)
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