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OpenStudy (anonymous):
derivative of cosx/3+sinx
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OpenStudy (anonymous):
using quotient rule: dy/dx = [f(x)'g(x) - f(x)g'(x)]/ g(x)^2
so it is -sinx(3+sinx) - cosx(3+cosx) / (3+sinx)^2
and just simplify and your done
OpenStudy (anonymous):
um for the derivative of cosx(3+sinx)= I got cosx(cosx)
OpenStudy (anonymous):
my mistake sorry haha your right once you made that change, then just simplify and your done
OpenStudy (anonymous):
for the answer I got -3sinx-1/(3+sinx)^2 is that right
OpenStudy (anonymous):
its okay
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OpenStudy (anonymous):
hm.. your top is -sinx(3+sinx)-cosx^2 / (3+sinx)^2
so the top would be -3sinx - sinx^2 - cosx^2 / (3+sinx)^2
OpenStudy (anonymous):
yes so I take the -(3sinx+sin^2 x+cos^2 x)
OpenStudy (anonymous):
then sin^2 x + cos^2 x equal one
OpenStudy (anonymous):
lol yea thats right
OpenStudy (anonymous):
but do u understand how I got my answer cuz its a quiz question and I need to know if the answer I got is right? :(
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OpenStudy (anonymous):
everything you did is correct so far
OpenStudy (anonymous):
my answer is -3sinx-1/ (3+sinx)^2
OpenStudy (anonymous):
that should be fine
OpenStudy (anonymous):
ok thanx :)
OpenStudy (anonymous):
np glad to help
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