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Mathematics 12 Online
OpenStudy (anonymous):

Help finding the second derivative.

OpenStudy (anonymous):

hartnn (hartnn):

write the numerator x^2-4 = x^2+4 -8 and then separate the denominator

hartnn (hartnn):

that will simplify the derivative part

hartnn (hartnn):

1-8/(x^2+4)

OpenStudy (anonymous):

where did you get the 8?

OpenStudy (anonymous):

@hartnn ?

hartnn (hartnn):

x^2 -4 = (x^2+4) -8 just adjusted the numerator to get the form of denominator x^2+4

OpenStudy (anonymous):

@hartnn I still don't understand how you got the -8, sorry :/

hartnn (hartnn):

-4 = 4-8 right ?

OpenStudy (anonymous):

yeah

hartnn (hartnn):

x^2-4 = x^2+4-8 right ?

OpenStudy (anonymous):

yes

hartnn (hartnn):

so, x^2-4/ x^2+4 = x^2+4-8/ x^2+4 = x^2+4/ x^2+4 - 8/x^2+4 = 1-8/x^2+4

OpenStudy (anonymous):

that's not any of the answer choices :/ @hartnn

hartnn (hartnn):

because we have not yet taken any derivative! :P you need to differentiate that twice

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