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Mathematics 16 Online
OpenStudy (anonymous):

Help!

OpenStudy (anonymous):

Do you have the zeros of the derivative?

OpenStudy (anonymous):

They are 0, 2, and -2

OpenStudy (anonymous):

ok. If you take the 2nd derivative and plug them in it will tell you which ones are maximums and minimums. If the 2nd derivative is positive that's a minimum → dec to inc If it's negative there's a max at that point → inc to dec

OpenStudy (anonymous):

f"(x) = 12x²-16 f(0) = -16, so f(x) has a maximum at x = 0 and goes from increasing to decreasing

OpenStudy (anonymous):

Put in the other 2 to check

OpenStudy (anonymous):

At 2 it goes from decreasing to increasing

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

And same thing for -2

OpenStudy (anonymous):

right

OpenStudy (anonymous):

Okay thank you!!

OpenStudy (anonymous):

you're welcome

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