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Derivative as the slope of a tangent
A secant through P and Q turns into the tangent as h → 0, from both sides; the slope readout lands on f′(a).
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Style
720p preview, watermarked, no credits · About 36s
Live sketch. The film is rendered by Manim, with captions and motion.
Storyboard
- 01The curve
- 02The point P
- 03A secant through Q
- 04h → 0 from the right
- 05h → 0 from the left
- 06The tangent line
Key values in the video
- f(a)
- 1
- f'(a)
- 2
- Tangent
- y = 2(x - 1) + 1