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The Tangent Line Finally Makes Sense 🤯 #visualmath #mathshorts
A tangent line is born from motion.
In this visual calculus short, we find the tangent line to:
y = x² at x = 2
We start with a point on the curve:
P = (2,4)
Then we create a secant line using a nearby point Q. As h gets smaller, Q moves closer to P, and the secant line slowly becomes the tangent line.
The slope approaches:
m = 4
So the final tangent line is:
y = 4x - 4
At The Hidden Dimension, we visualize the hidden patterns behind mathematics, motion, and reality.
See beyond the symbols.
#mathshorts #calculus #derivatives #visualmath #thehiddendimension
Видео The Tangent Line Finally Makes Sense 🤯 #visualmath #mathshorts канала The Hidden Dimension
In this visual calculus short, we find the tangent line to:
y = x² at x = 2
We start with a point on the curve:
P = (2,4)
Then we create a secant line using a nearby point Q. As h gets smaller, Q moves closer to P, and the secant line slowly becomes the tangent line.
The slope approaches:
m = 4
So the final tangent line is:
y = 4x - 4
At The Hidden Dimension, we visualize the hidden patterns behind mathematics, motion, and reality.
See beyond the symbols.
#mathshorts #calculus #derivatives #visualmath #thehiddendimension
Видео The Tangent Line Finally Makes Sense 🤯 #visualmath #mathshorts канала The Hidden Dimension
tangent line tangent line problem derivative derivatives calculus visual calculus secant line secant to tangent slope of tangent line derivative explained visually y=x^2 tangent line tangent line at x=2 h approaches zero limits math shorts visual math math animation manim graph animation the hidden dimension
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