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OpenStudy (anonymous):
Use the second derivative test to find all relative extrema of f(x)=5 + 3x² - x³
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OpenStudy (zzr0ck3r):
do you know how to get the second derivative?
OpenStudy (anonymous):
i know the 1st derivative is -3(x-2)x
OpenStudy (zzr0ck3r):
expant it and do it again
OpenStudy (anonymous):
so the answer would be 6-6x?
OpenStudy (anonymous):
y'=6x-3x^2 y''=6-6x
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OpenStudy (zzr0ck3r):
so now you must set that equal to zero to find where the function changes concaity
OpenStudy (zzr0ck3r):
concavity*
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