what does the symbol delta(the triangle symbol)x mean?
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It is the 4th Greek letter and usually represents 'change in' x
so what would I do if the problem is: (f(2+delta(x))+ f(2)) / delta(x) the equation:x^2 - 2x + 1
The problem is most likely to find the derivative of f in the point x=2.
Originally Posted by CalcGeek31 so what would I do if the problem is: (f(2+delta(x))+ f(2)) / delta(x) the equation:x^2 - 2x + 1 Delta, as Galactus said, represents change in x. In your case, it represents the change of x as it approaches zero. This is the derivative at the point x = 2. Also, you made a small typo:
Im not sure I understand... my problem is f(x) is equal to the second equation... now evaluate the first equation...
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.
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?
wait... I get down to lim(h-> 0) (2h + h^2 - 2) / h then how do I cancel the denominator?
Originally Posted by CalcGeek31 wait... I get down to lim(h-> 0) (2h + h^2 - 2) / h then how do I cancel the denominator? You made a mistake while simplifying: ...
ahhh... k so my final answer is 2?
Originally Posted by CalcGeek31 ahhh... k so my final answer is 2? EDIT: Yes, I made trivial mistake. You're correct.
Last edited by Chop Suey; August 22nd 2008 at 06:14 PM.
from that... -2(h) = -2 h + 4h
[ your +2h in here should be -2h...
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