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OpenStudy (lgbasallote):
LGBADERIVATIVE:
\[\huge y = \cos^2 x\]
y " = ?
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OpenStudy (lgbasallote):
\[y' = -2\sin x \cos x\]
OpenStudy (lgbasallote):
\[y'' = 2\sin ^2 x - 2 \cos ^2 x?\]
OpenStudy (lgbasallote):
\[y'' = 2(\cos (2x) )?\]
OpenStudy (zarkon):
close
OpenStudy (lgbasallote):
so it's wrong?
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OpenStudy (zarkon):
yes...just a little
OpenStudy (callisto):
\[cos^2 x = \frac{cos2x + 1}{2}\]
\[y' = \frac{d}{dx}cos^2 x = \frac{d}{dx}\frac{cos2x + 1}{2} = \frac{1}{2}(-sin2x)(2) = -sin2x\]
\[y'' = \frac{d}{dx} -sin2x = -2cos2x\]
I haven't done diff. for long ... Sorry :(
OpenStudy (lgbasallote):
wait....i think it should be 2... @Zarkon ?
OpenStudy (lgbasallote):
\[2\sin^2 x + 2\cos ^2 x\]
\[2(1)\]
OpenStudy (zarkon):
no
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OpenStudy (lgbasallote):
callisto and i had same answer :/
OpenStudy (zarkon):
nope
OpenStudy (callisto):
Not the same :|
OpenStudy (zarkon):
close, but not the same
OpenStudy (lgbasallote):
huh? what's the difference between \[-2 (\cos (2x) )\] and \[-2 \cos 2x\]
???
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OpenStudy (zarkon):
you didn't put a - in your answer above
OpenStudy (callisto):
You didn't type the negative sign.
OpenStudy (lgbasallote):
oops lol
OpenStudy (lgbasallote):
it shouldve been \[-2\sin^2 x + 2\cos^2 x?\]
OpenStudy (anonymous):
what is a \(-\) between friends?
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OpenStudy (lgbasallote):
hmm wonder what
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