Question

Use the definition of the derivative to compute:
d/dx x/(x+1)

Answer 1

\[(\frac{ x+h }{ x+h+1 }-\frac{x}{x+h})*1/h\]

I've plugged it into the equation, but can't seem to get anywhere with the algebra part

Answer 2

because its x+1 in 2nd term

Answer 3

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

Answer 4

ahh wow

Answer 5

that was actually it

Answer 6

think I need to figure out a way to focus better

Answer 7

thanks @hartnn

Answer 8

yes,welcome ^_^