- #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?

- Thread starter Flatland
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- #1

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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?

- #2

AKG

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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

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yes, they are the same. if you need not simplify, i think that way is even easier.

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