Opus 5.5 — 视频与动效难度: Advanced制作路径: Educational explainer

Manim 微积分讲解 + Kokoro 语音

用 Manim Community 制作极限/导数场景,Kokoro-82m 旁白,并核对屏幕公式。

提示词

75 words · 495 characters
Topic: intuitive derivative as instantaneous rate of change (5–7 minute lesson).

Deliver Manim CE Python:
- Scene list: NumberLine intro → secant → limit → tangent visual → power rule example.
- Narration script with timestamps; generate WAV via Kokoro-82m (note voice id).
- manim.cfg: 1080p30; embed audio with `-qm` render then ffmpeg mux.
- FACT CHECK table: every displayed equation, source (Stewart/OpenStax section).

Fail if any step skips the limit definition when claiming derivative.

工作流说明

awesome 168 案例集中科普类预览中位最长(约 102 秒)。发布前务必人工验算。

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