Question

find derivates using definition..
f(x)= 1/x+2

Answer 1

Awesome.... These are fun. Ready to work on this together?

Answer 2

yes..ready..

Answer 3

Sweetness! First, how would we go about solving this? Like what equation/idea are we going to use?

Answer 4

If you need a hint, I can give you one.

Answer 5

equation that i know, lim f(x+h)-f(x)/h
h approaches 0

Answer 6

perfect!
That's the difference quotient.

And do you know how we use it?

Answer 7

Also, I just want to double check:
Your original equation is
one over x, plus 2
right?

Not 1 over (x+2)?

Answer 8

i dont exactly how to use it
please teach me

Answer 9

yes..1 over (x+2)

Answer 10

Okie dokie.

Answer 11

the f(x+h) part means rewrite the original question, BUT, instead of X write (x+h) each time you see it.

So how would you equation, 1/(x+2) appear if you replace the x with (x+h) ?

Answer 12

*your equation, I mean.

Answer 13

actually i 've try..i got the answer is -(1 over (x+2)square..is it same as u?

Answer 14

Unfortunately no.

Answer 15

You literally just replace x with (x+h). No math needed yet.

Answer 16

1/(x+2) just replace the x with x+h and what does it say?

Answer 17

Ah oh well. I've gotta go assist other folks then.

Answer 18

oh..so what ur answer?

Answer 19

1/(x+h+2)
You literally just replace x with x+h :P

Answer 20

ok2..tq..i got it

Answer 21

how about this question
\[f(x)= 1 \over \sqrt{x-1}\]