Problem Analysis #1

Kimi K3 · Run 1

Correct
7.21s
452 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 2 For the functionf(x) = 3x 3 + 4x+ 1, evaluate lim h→0 f(1 +h)−f(1) h . [2 points] ①7 ②9 ③11 ④13 ⑤15

Ground Truth
Recorded model response / solution
Reasoning Process

The limit is the definition of the derivative at x=1x=1:

f(x)=9x2+4f'(x)=9x^2+4

So

f(1)=9(1)2+4=13.f'(1)=9(1)^2+4=13.

\boxed{④}

Final Model Output

Comparative Analysis (P1) (Average across runs)

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

Avg Time Taken

Solar Pro 4
15.5
Motif 3
8.7
Kimi K3
7.7
K-EXAONE-2
0.6

Avg Token Usage

Solar Pro 4
853.3
Kimi K3
432.7
K-EXAONE-2
308.3
    CSAT 2026 · Problem 1 · Kimi K3 | EntropyMath