SOLUTION: I have no idea how to begin solving this: determine the slop of the function at the indicated domain value. the prblem is: s(n)= log(n^2 - 4): n=3

Algebra ->  Functions -> SOLUTION: I have no idea how to begin solving this: determine the slop of the function at the indicated domain value. the prblem is: s(n)= log(n^2 - 4): n=3      Log On


   



Question 262860: I have no idea how to begin solving this:
determine the slop of the function at the indicated domain value.
the prblem is: s(n)= log(n^2 - 4): n=3

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
To find slope we take a derivative.
The derivative formula we need is
(i) s%28n%29+=+log%28b%2Cu%29
will become
(ii) s%28prime%29%28n%29+=+log%28b%2Ce%29%2A%28u%28prime%29%2Fu%29
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let U = n^2 - 4
now
dU = 2n
so, from (ii) we get
s%28prime%29%28n%29+=+log%2810%2Ce%29%2A%28n%5E2-4%29%2F2n%29
Next let n = 3, and we get
s%28prime%29%283%29+=+log%2810%2Ce%29%2A%283%5E2-4%29%2F%286%29
which is
s%28prime%29%283%29+=+%285%2F6%29%2Alog%2810%2Ce%29
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I hope this is what you were looking for.