How to differentiate 1/x from first principles

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How to differentiate 1/x from first principles (limit definition)

Music by Adrian von Ziegler
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Listing music and solving problems I like it . 👍

Vyanjansharma
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What's the name of the music? I love it!

jenf
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the music makes it seem like they're trying to tell a tale lol

satominanase
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X-1/x+2 how can solve from first principle method in differentiation

rahulpandey
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Nice, which digitizer/ graphic tablet did you use, would you please guide me in this regard.

drmohanmahalakshminaidus
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Idk why but it irritates me when I see proofs like this that don't prove each algebraic step. It makes the procedure a little ambiguous. I like to see all the details of the operations, even simple algebraic one's.

Btw I'm talking about the complex fraction bit of the equation, you left out the proof of how you got to the rational polynomial, and that's the bit that people really struggle with in my experience.

GeraldBosley-cfng
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But finally we need to show 1/x but u showed -1/x

padmavathibattula