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OpenStudy (anonymous):
OpenStudy (anonymous):
I answer is choice (-9/4)
OpenStudy (loser66):
how do you get that? show me, please
OpenStudy (anonymous):
When I got the second derivative it was (1/2x(x^2+1)^2
OpenStudy (loser66):
what is the first derivative?
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OpenStudy (anonymous):
It is 1/x^2+1
OpenStudy (loser66):
yes, and then second one?
OpenStudy (anonymous):
is whatI typed above that
OpenStudy (loser66):
nope, some thing wrong, recheck, please
OpenStudy (loser66):
is it = (x^2+1) ^-1? take derivative of this,
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OpenStudy (anonymous):
It is (1/2x(x^2+1)^2
OpenStudy (loser66):
1st, lack of negative sign
OpenStudy (loser66):
second, 2x in numerator, not in denominator, right?
OpenStudy (anonymous):
yes
OpenStudy (loser66):
so, at the end up, your answer should be?
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OpenStudy (anonymous):
(9/4)
OpenStudy (loser66):
I mean the form first , and then plug the number to make sure no mistake
OpenStudy (gorv):
f'(x)=1/(1+x^2)
f"(x)= -2x/(1+x^2)^2
put x=-2
f''(-2)=4/25
OpenStudy (loser66):
\[\frac{-2x}{(x^2+1)^2}\]
OpenStudy (loser66):
strongly agree with gorv
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OpenStudy (anonymous):
oh Loser66 I keep doing positives instead of - ok I came up with the answer 4/25 correct?
OpenStudy (loser66):
keep in mind, all the time, you have to have the form first, then, plug the number into it. that's the perfect way to avoid mistake
OpenStudy (loser66):
I don't calculate until the answer, I just give out the idea but I trust gorv when he gave out the neat way to get the answer, yours = his, I think it's ok,