anonymous
  • anonymous
Calc: Differentiation Problem How... do I use the differentiation equation ( http://upload.wikimedia.org/wikibooks/en/math/9/3/c/93c69eed289535160c074b72198adc4f.png ) with the following equasion: f(x)=1/(x-1) and also f(x)=x^3-12x Help on either would be awesome. THANKS!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
so you want to find the derivative using the definition of derivative...
anonymous
  • anonymous
prettymuch.. ?
anonymous
  • anonymous
let f(x) = 1/(x-1). give me f(x + h) = to do this, wherever you see an x, put in an (x+h)

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anonymous
  • anonymous
Im at: ((1/(x+h-1))-(1/x-1))/h Where do I simplify from there.. ??
anonymous
  • anonymous
can you simplify the top? |dw:1332745618103:dw|
anonymous
  • anonymous
|dw:1332745706450:dw|
anonymous
  • anonymous
thats where im stuck. multiplying by (x+h-!) is ovbiously not working out.. ?
anonymous
  • anonymous
*(x+h-1)
anonymous
  • anonymous
|dw:1332745791814:dw|
anonymous
  • anonymous
crap... forgot you can multiply the fraction within a fraction and not affect the denominator of the overall fraction. -.-
anonymous
  • anonymous
|dw:1332745917315:dw|
anonymous
  • anonymous
now cancel the h and simplify...
anonymous
  • anonymous
|dw:1332745962826:dw| whats this?? is that an arrow pointing to h?
anonymous
  • anonymous
wait nvm on the top circle -.-
anonymous
  • anonymous
the first circled h is the denominator of the whole fraction. the second h is "negative" h... i simplified the expression circled just to the left of it.
anonymous
  • anonymous
this is what you should get when it gets simplified. |dw:1332746179705:dw|
anonymous
  • anonymous
how does h*-h = -1?
anonymous
  • anonymous
no, i subtracted the numerators... |dw:1332746328418:dw|
anonymous
  • anonymous
i know. so the numerator is -h.
anonymous
  • anonymous
|dw:1332746398183:dw|
anonymous
  • anonymous
yes... now cancel the h's.
anonymous
  • anonymous
|dw:1332746450967:dw|
anonymous
  • anonymous
crappppppppppppppp
anonymous
  • anonymous
did that wrong, again... -.-|dw:1332746513831:dw|
anonymous
  • anonymous
|dw:1332746512792:dw|
anonymous
  • anonymous
it's ok... take your time. it takes a while...
anonymous
  • anonymous
:P alright. so lim f(x+h) as h->0, so h=0. 1/((x-1)(x+1) ?
anonymous
  • anonymous
not quite.. try it again. you almost got it...
anonymous
  • anonymous
do i need to multiple the denominator?
anonymous
  • anonymous
no
anonymous
  • anonymous
just stick in h=0 and simplify
anonymous
  • anonymous
dear god i am full of simple math errors... -.- its past bedtime by a little. can you tell? -.-
anonymous
  • anonymous
1/(x-1)(x-1)
anonymous
  • anonymous
|dw:1332746749759:dw|
anonymous
  • anonymous
you got it!!! :)
anonymous
  • anonymous
oops don't forget the negative.
anonymous
  • anonymous
EEEEEEEEEEEEEEEEEEERGHH lol thx
anonymous
  • anonymous
np. the other should be easy. just holler.
Callisto
  • Callisto
So i upload a jpg one for you, with my school name deleted lol
1 Attachment
Callisto
  • Callisto
I truly hope that you understand my workings..
anonymous
  • anonymous
thanks a ton! xD!
Callisto
  • Callisto
welcome 'a ton' :D
Callisto
  • Callisto
Nah... my wrong workings... please correct it : all the +1 after x+h should be -1 for (1) That is x+h+1 -> x+h-1
anonymous
  • anonymous
yeah thats fine, i was just wondering about the second to last line of (2)?
anonymous
  • anonymous
why is 3x multiplied by (0) ? 3x(0) as in the second number

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