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Mathematics 20 Online
OpenStudy (anonymous):

See attachment

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?

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,

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?

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

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,

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