Problem Analysis #4

Kimi K3 · Run 1

Correct

9.95s

546 toks

API · no tools. This is the prompt and response recorded for this attempt; a full solution may not have been returned.

Problem Statement

This is a Korean CSAT mathematics multiple-choice problem. Solve it and put only the correct choice symbol, one of ①, ②, ③, ④, ⑤, inside \boxed{}.

Problem 5 For the function f(x) = (x+ 2)(2x 2 −x−2), computef ′(1). [3 points] ①6 ②7 ③8 ④9 ⑤10

Ground Truth

③

Recorded model response / solution

Reasoning Process

Using the product rule:

Let $u=x+2$ , $v=2x^2-x-2$ .
Then $u'=1$ , $v'=4x-1$ .

f'(1)=u'(1)v(1)+u(1)v'(1)

Compute at $x=1$ :

f'(1)=(-1)+3\cdot 3=8

\boxed{③}

Final Model Output

③

Comparative Analysis (P4) (Average across runs)

Averages use reported measurements only. Missing usage is not treated as zero.

Kimi K3

11.8

Motif 3

11.7

Solar Pro 4

9.0

K-EXAONE-2

0.8

Solar Pro 4

782.3

Kimi K3

601.0

K-EXAONE-2

410.0