Quotient rule and binomial theorem

  • Thread starter Jhenrique
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  • #1
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Main Question or Discussion Point

If it's possible to relate the product rule with the binomial theorem, so:

[tex](x+y)^2=1x^2y^0+2x^1y^1+1x^0y^2[/tex]
[tex]D^2(fg)=1f^{(2)}g^{(0)}+2f^{(1)}g^{(1)}+1f^{(0)}g^{(2)}[/tex]

So, is it possible to relate the quotient rule with the binomial theorem too?
 

Answers and Replies

  • #3
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If it's possible to relate the product rule with the binomial theorem, so:

[tex](x+y)^2=1x^2y^0+2x^1y^1+1x^0y^2[/tex]
[tex]D^2(fg)=1f^{(2)}g^{(0)}+2f^{(1)}g^{(1)}+1f^{(0)}g^{(2)}[/tex]

So, is it possible to relate the quotient rule with the binomial theorem too?
I don't think so.
 
  • #4
HallsofIvy
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Write [itex]f/g[/itex] as [itex]fg^{-1}[/itex] and apply the product rule to that.
 

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