Blericker74
2022-07-09
gozaderaradiox5
Beginner2022-07-10Added 19 answers
For large we have
(According to Taylor's Theorem)
so the approximation is accurate once is large relative to . By the way, I'd put it exactly the other way around: that is a good approximation to ! It's not as if is particularly easy to compute for large .
Raul Walker
Beginner2022-07-11Added 7 answers
This is equivalent to saying that, if and a is very small, then
which is true, since
Alternatively put, the derivative at of is .
Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
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