## anonymous 3 years ago Use the definition of the derivative to compute: d/dx x/(x+1)

1. anonymous

$(\frac{ x+h }{ x+h+1 }-\frac{x}{x+h})*1/h$ I've plugged it into the equation, but can't seem to get anywhere with the algebra part

2. hartnn

because its x+1 in 2nd term

3. hartnn

the algebra part is very easy (x+h)(x+1) - x(x+h+1) simply turns out to be h

4. anonymous

ahh wow

5. anonymous

that was actually it

6. anonymous

think I need to figure out a way to focus better

7. anonymous

thanks @hartnn

8. hartnn

yes,welcome ^_^