Proof of second order derivative

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Discussion Overview

The discussion revolves around the notation for the second order derivative, specifically the expression y''=d²y/dx², and the origins of this notation. The scope includes conceptual clarification and historical context regarding mathematical notation.

Discussion Character

  • Conceptual clarification, Historical

Main Points Raised

  • One participant asks how to prove the equivalence of y'' and d²y/dx², suggesting a desire for a formal proof.
  • Another participant responds that the question is about notation conventions rather than a mathematical proof.
  • A participant expresses curiosity about the origins of the notation d²y/dx².
  • A later reply mentions that Leibniz introduced the notation, questioning the relevance of its historical context.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the significance of the notation or the need for a proof, indicating a mix of curiosity and differing perspectives on the topic.

Contextual Notes

The discussion does not address specific assumptions or limitations regarding the notation or its applications.

manish15689
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How to prove that

y''=d2y/dx2

if y=f(x)
 
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That's just expressing the equivalence between two different types of notation conventions..
 
i want to know how does the notation d2y/dx2 come into existence...
 
manish15689 said:
i want to know how does the notation d2y/dx2 come into existence...

Leibniz introduced it. Why would that be of any interest??
 

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