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Mathematics 27 Online
OpenStudy (anonymous):

derivative of cosx/3+sinx

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

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? :(

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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