Uploaded January 2026 | Updated September 2026, 2 weeks ago
In this short, we briefly visualize the tangent plane to a surface in 3D space. The idea is to find the tangent lines in the x-direction and the y-direction (holding y constant and x constant, respectively) and then use the two lines to find the plane spanned by those lines. The tangent plane approximates the surface locally so that all smooth surfaces look like a flat space if you zoom in far enough.
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This is standard content in any calculus text.
#math #manim #tangentplane #mathematics #calculus #mathshorts #mathvideo #mtbos #mathematician #differentiability #functions #derivative
To learn more about animating with manim, check out:
https://manim.community
In this short, we briefly visualize the tangent plane to a surface in 3D space. The idea is to find the tangent lines in the x-direction and the y-direction (holding y constant and x constant, respectively) and then use the two lines to find the plane spanned by those lines. The tangent plane approximates the surface locally so that all smooth surfaces look like a flat space if you zoom in far enough.
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
This is standard content in any calculus text.
#math #manim #tangentplane #mathematics #calculus #mathshorts #mathvideo #mtbos #mathematician #differentiability #functions #derivative
To learn more about animating with manim, check out:
https://manim.community
