Product rule instead of quotient rule?

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

Say for example, to differentiate x/(x²+1) I would use to quotient rule. However, would it be legal to bring up the denominator to: (x)(x²+1)-¹ and use the product/chain rule instead?
 

Answers and Replies

  • #2
AKG
Science Advisor
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Yes..............
 
  • #3
Hurkyl
Staff Emeritus
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Sure. As an exercise, try deriving the quotient rule using that trick.
 
  • #4
486
0
yes, they are the same. if you need not simplify, i think that way is even easier.
 

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