what does the symbol delta(the triangle symbol)x mean?

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- Aug 22nd 2008, 04:40 PMCalcGeek31Delta?
what does the symbol delta(the triangle symbol)x mean?

- Aug 22nd 2008, 04:59 PMgalactus
It is the 4th Greek letter and usually represents 'change in' x

- Aug 22nd 2008, 05:19 PMCalcGeek31
so what would I do if the problem is:

(f(2+delta(x))+ f(2)) / delta(x)

the equation:x^2 - 2x + 1 - Aug 22nd 2008, 05:26 PMSpec
The problem is most likely to find the derivative of f in the point x=2.

- Aug 22nd 2008, 05:35 PMChop Suey
- Aug 22nd 2008, 05:35 PMCalcGeek31
Im not sure I understand...

my problem is f(x) is equal to the second equation... now evaluate the first equation... - Aug 22nd 2008, 05:40 PMChop Suey
Let

Our objective here is to get rid of the h in the denominator so we can find the limit. Now, let's evaluate f(2+h) and f(2)

Now simply replace and simplify. You'll find that you can cancel the h in the denominator after all. - Aug 22nd 2008, 05:42 PMCalcGeek31
ohhh... now that makes perfect sense... it takes the form of f(x+h) thank you

I also have a similar problem in which there is no change in x. does this mean I work it all the way up until I do the limit? - Aug 22nd 2008, 05:53 PMCalcGeek31
wait... I get down to lim(h-> 0) (2h + h^2 - 2) / h

then how do I cancel the denominator? - Aug 22nd 2008, 05:58 PMChop Suey
- Aug 22nd 2008, 06:00 PMCalcGeek31
ahhh... k so my final answer is 2?

- Aug 22nd 2008, 06:02 PMChop Suey
- Aug 22nd 2008, 06:05 PMCalcGeek31

from that... -2(h) = -2 h + 4h - Aug 22nd 2008, 06:09 PMChop Suey

- Aug 22nd 2008, 06:11 PMCalcGeek31
[

your +2h in here should be -2h...