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OpenStudy (konradzuse):
Find any relative extrema of the function. (Round your answers to three decimal places.)
f(x) = arcsec(x) − 6x
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OpenStudy (agent47):
find f'(x) and then where it's 0 or undefined
OpenStudy (konradzuse):
I guess it's like the other one, find the derivative and then solve for x/y?
OpenStudy (agent47):
Yup, and you can use a calculator to differentiate.
OpenStudy (agent47):
and evaluate.
OpenStudy (konradzuse):
\[\frac{1}{|x| \sqrt{x^2-1}}\] -6?
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OpenStudy (anonymous):
I believe so.
OpenStudy (agent47):
yup, so one of your values would've been:
x=0, x=1, and then just set that fancy looking fraction equal to 6 and solve for x.
OpenStudy (agent47):
Sorry, I'm lazy ;)
OpenStudy (konradzuse):
np
OpenStudy (konradzuse):
so now we need to find the y's right? since the min is 0 and the max is 1?
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OpenStudy (agent47):
Wait min is not 0 and max is not 1, I mean you may be right but you have to test them first.
OpenStudy (konradzuse):
oh sorries :P.
OpenStudy (agent47):
Keep in mind, max and min aren't measured by how big x, they're measured by how big y is.
OpenStudy (konradzuse):
hpm...
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