#Can someone give me a hint on what these last few steps at [12:03] are?

8 messages · Page 1 of 1 (latest)

shy slate
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Hey there, here's the video i'm talking about: https://www.youtube.com/watch?v=S0_qX4VJhMQ&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr&index=7&ab_channel=3Blue1Brown

I tried doing area gained = area lost to somehow find d(1/x) or dx but didn't get anything from it.

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Derivative formulas through geometry | Chapter 3, Essence of calculus

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wanton moonBOT
mortal token
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well technically the awnser could be 1 because 1/1 = 1 and x = 1 whitch is length 1 and height 1 whitch makes it a constant but he said negative numbers so i'm not too sure myself

shy slate
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before in the video he said I should think of d's as really tiny changes and also that in calculus they mean that the value with d is gonna go to 0

mortal token
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welp then i have no clue

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maybe -1?

shy slate
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well, using the power rule the derivative of x^(-1) = -(1/x^2)