Keub

Keub

1. 21:49 · 30 May 2026 · Sat

   

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   derivatives are formally defined with limits

2. 21:15 · 30 May 2026 · Sat

   

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   // e is chosen (to be understood better)

3. 21:08 · 30 May 2026 · Sat

   

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   deduction of the constant e(=2.71)
   
   The slope of a tangent line on any point of the graph e^t equals the height of that point above the horizontal axis.

4. 16:10 · 30 May 2026 · Sat

   

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   Aaaaaaaaah.

5. 16:08 · 30 May 2026 · Sat

   

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   Chain rule

6. 00:36 · 30 May 2026 · Sat

   

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   D(sinx)

7. 00:24 · 30 May 2026 · Sat

   

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   x³

8. 00:19 · 30 May 2026 · Sat

   

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   D(x²) = 2xdx + dx² (ignored)
   (xdx is the area of the small rectangle, 2 coz two rectangles)
   df = 2xdx
   df/dx = 2x

9. 00:09 · 30 May 2026 · Sat

   

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   Oh fuck. He just derived D(t³) = 3t²

10. 00:01 · 30 May 2026 · Sat

    Keub

    at time t [s(t)] and a small time dt [s(t+dt)]

    Instead of two points

11. 00:00 · 30 May 2026 · Sat

    Keub

    In pure math, the derivation is not this ratio d(s)/d(t) (t) for a specific choice of dt (=0.001). Instead, it's whatever that ratio approaches, as your choice for dt approaches 0.

    

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    It is equal to the slope of the line tangent to the graph at a *single* point.

12. 23:57 · 29 May 2026 · Fri

    Keub

    Ese. The difference of distance traveled at time t [s(t)] and a small time dt [s(t+dt)] by change in time d(t).

    In pure math, the derivation is not this ratio d(s)/d(t) (t) for a specific choice of dt (=0.001). Instead, it's whatever that ratio approaches, as your choice for dt approaches 0.

13. 23:51 · 29 May 2026 · Fri

    Keub

    How does velocity depend on a distance vs time function.

    

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    Ese. The difference of distance traveled at time t [s(t)] and a small time dt [s(t+dt)] by change in time d(t).

14. 23:40 · 29 May 2026 · Fri

    

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    How does velocity depend on a distance vs time function.

15. 23:35 · 29 May 2026 · Fri

    "Maths has a tendency to reward you when you respect its symmetry."
    - 3b1b

16. 23:33 · 29 May 2026 · Fri

    

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    the Derivative of the Area (which is Integral) gives the Function. and the Integral of the Function gives the Area.