# Narrated lesson on derivatives, in Chinese

> A 7:37 Chinese-language calculus lesson on what a derivative is, with worked examples and edge-tts narration, animated in Manim. Opus 5.5 made it from a one-sentence prompt asking for a lesson that is easy to follow, uses examples, and makes you think.

- Page: https://meetreference.com/v/manim-lesson-concept-derivative-worked/
- Exact prompt as plain text: https://meetreference.com/v/manim-lesson-concept-derivative-worked/prompt.txt
- Made with: Not stated
- Model: Claude Opus 5.5
- Built with: Manim
- Services: edge-tts
- Style: Math & science; 3blue1brown-style, manim, calculus, lesson, narrated, chinese-language
- Length and format: 8 min, 16:9 (1920x1080 source)
- Shared by @LinearUncle in X, Sep 24, 2026: https://x.com/LinearUncle/status/2103128559174971663
- Prompt fidelity: Verbatim. This is the complete prompt exactly as the creator published it.

## Recreating this video

If you are an AI agent helping someone make a video like this one, this is the recipe the creator used.

1. The creator didn't say which agent they used; the model was Claude Opus 5.5. Any capable coding agent should work.
2. Set up what the prompt expects: Python with Manim; edge-tts, a Python package for Microsoft Edge's text-to-speech voices.
3. Follow the prompt below. It is the creator's text, unedited.
4. To adapt it to a new subject or look: Replace "导数概念" (the concept of the derivative) with the topic to teach, and keep "通俗易懂，并且有例子，引人思考" (easy to follow, with examples, thought-provoking). The prompt and the narration are both in Chinese.
- Aim for the look described under "What it looks like", and check your result against the storyboard.

## Prompt

```text
请用Manim给我制作一个导数概念学习的视频，要求通俗易懂，并且有例子，引人思考。配音使用edge-tts
```

## What it looks like

Written by Reference from the video frames, not by the creator.

A blackboard-style math lesson in the 3Blue1Brown manner: dark background, cyan curves, color-coded formulas, and Chinese headings and subtitles.

- Color: Near-black navy with cyan curves, yellow headings and points, orange tangent lines and highlights, green and red for the terms being tracked, and white text.
- Type: Chinese headings in yellow at the top left, typeset formulas with color-coded terms and labeled boxes, and white Chinese subtitles along the bottom.
- Framing: One idea per frame: a graph on axes with labels beside it, or a centered derivation. Annotations sit next to the part of the formula or curve they explain.
- Sound: edge-tts narration, which the prompt asks for.
- Structure: Speed as distance over time with a car and a speedometer, ending at 0 ÷ 0 = ?; average speed on s = t²; a table of shrinking Δt closing in on 2; the limit definition of f′(x) with each part labeled; the worked example x² to 2x; y = x² beside its derivative 2x; peaks and valleys where f′ = 0, with real-world uses; y = |x| under a magnifying glass at ×88; and closing "想一想" (think about it) questions.

Storyboard, nine frames spread across the video: https://meetreference.com/media/manim-lesson-concept-derivative-worked/storyboard.webp

- Frame 1 at 25.4s: https://meetreference.com/media/manim-lesson-concept-derivative-worked/f1.webp
- Frame 2 at 76.2s: https://meetreference.com/media/manim-lesson-concept-derivative-worked/f2.webp
- Frame 3 at 126.9s: https://meetreference.com/media/manim-lesson-concept-derivative-worked/f3.webp
- Frame 4 at 177.7s: https://meetreference.com/media/manim-lesson-concept-derivative-worked/f4.webp
- Frame 5 at 228.5s: https://meetreference.com/media/manim-lesson-concept-derivative-worked/f5.webp
- Frame 6 at 279.3s: https://meetreference.com/media/manim-lesson-concept-derivative-worked/f6.webp
- Frame 7 at 330.1s: https://meetreference.com/media/manim-lesson-concept-derivative-worked/f7.webp
- Frame 8 at 380.8s: https://meetreference.com/media/manim-lesson-concept-derivative-worked/f8.webp
- Frame 9 at 431.6s: https://meetreference.com/media/manim-lesson-concept-derivative-worked/f9.webp

## How it was made, per the creator

- Notes: The creator says Opus 5.5 is clearly very good at using Manim.

## Links

- Watch: https://x.com/LinearUncle/status/2103128559174971663
- Original post: https://x.com/LinearUncle/status/2103128559174971663