# Product rule instead of quotient rule?

1. Mar 19, 2006

### Flatland

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. Mar 19, 2006

### AKG

Yes..............

3. Mar 19, 2006

### Hurkyl

Staff Emeritus
Sure. As an exercise, try deriving the quotient rule using that trick.

4. Mar 19, 2006

### leon1127

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