anonymous
  • anonymous
Find the slope of the tangent using f(x+h) - f(x) / h y = 8 /x where x = 2
Mathematics
schrodinger
  • schrodinger
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bahrom7893
  • bahrom7893
y = 8/x, find the derivative using the limit definition..
bahrom7893
  • bahrom7893
all of this will be lim as x->0 (f(x+h)-f(x))/h = (2/(x+h) - 8/x)/h
anonymous
  • anonymous
yea i did..but i got 0 on the nominator

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anonymous
  • anonymous
isnt it 8 / x + h - ( 8/x) / h?
bahrom7893
  • bahrom7893
|dw:1328674694351:dw|
bahrom7893
  • bahrom7893
oh yea.. sorry it is
bahrom7893
  • bahrom7893
I was about to say something's wrong..
anonymous
  • anonymous
yea..and when i group them together, i get a total of 0..
bahrom7893
  • bahrom7893
|dw:1328674796938:dw|
bahrom7893
  • bahrom7893
-8/(x*(x+h)), hmm u're right
anonymous
  • anonymous
yea, but the answer given is -2..
bahrom7893
  • bahrom7893
trying on paper..
anonymous
  • anonymous
well the question actually gives (2,4) , so does the y help?
bahrom7893
  • bahrom7893
something's wrong with the question... i'm getting the same thing over and over again
bahrom7893
  • bahrom7893
well let's try that..
anonymous
  • anonymous
ok thanks!
bahrom7893
  • bahrom7893
still doesn't work out.. the thing is that's the problem with the graphs when x is on the bottom.. even if i differentiate it and get 8lnx, i won't be able to find slope for negative x... and i have a feelin the limit is pullin us in that direction
anonymous
  • anonymous
ohh i will ask my teacher about it then, can u help me to look at one more question if u can?
bahrom7893
  • bahrom7893
yea sure
anonymous
  • anonymous
y = sqrt x- 2 , giving (3, 1)
bahrom7893
  • bahrom7893
is sqrt just over x or over x-2?
anonymous
  • anonymous
guys, h is approaching 0, not x in the difference quotient.
bahrom7893
  • bahrom7893
OHHHHHHHHHH snap, i feel dumb.. thanks rick
anonymous
  • anonymous
np ;)
bahrom7893
  • bahrom7893
|dw:1328675271185:dw|
bahrom7893
  • bahrom7893
|dw:1328675283240:dw|
anonymous
  • anonymous
OHHHH wait , give me some time to understand lol
anonymous
  • anonymous
oh i get it now thanks!! and for the 2nd one, the sqrt is over x-2
bahrom7893
  • bahrom7893
hold on... helpin someone
anonymous
  • anonymous
ok, and i actually give the wrong question it is y = sqrt (5x- 1) at x =2 i will wait :)

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