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OpenStudy (anonymous):
f'(x) given f(x)=(2-2x^2)/(2+2x^2)
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OpenStudy (anonymous):
pulled out a 2, used the quotient rule and now stuck factoring further
OpenStudy (anonymous):
what do I do with -4x/(x^2+1)^2
OpenStudy (bahrom7893):
i dont think u can do anything else with it..
OpenStudy (bahrom7893):
why?
OpenStudy (anonymous):
wolfram manages to break it down further
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OpenStudy (anonymous):
polpak! I owe you answer still!
OpenStudy (bahrom7893):
are you sure the quotient rule was correct?
OpenStudy (anonymous):
Hrm?
OpenStudy (anonymous):
yes, has to be quotient rule
OpenStudy (anonymous):
\[\frac{d}{dx}[{(2-2x^2)\over (2+2x^2)}]\]\[ = \frac{d}{dx}[{(2-2x^2)(2+2x^2)^{-1}}]\]\[=(2-2x^2)[-1(2+2x^2)^{-2}(4x)] + [-4x](2+2x^2)^{-1}\]\[= {-4x(2-2x^2 + (2+2x^2)) \over (2+2x)^2}\]\[= {-16x \over (2+2x)^2} \]\[= {-16x \over [2(1+x^2)]^2}\]\[={-16x \over 4(x^2 +1)^2} = {-4x \over (x^2 +1)^2}\]
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OpenStudy (anonymous):
that is exactly what i got
OpenStudy (anonymous):
my issue is that the program wolfram breaks it down further
OpenStudy (anonymous):
No it doesn't.
OpenStudy (bahrom7893):
yea.. it can't have..
OpenStudy (anonymous):
i had a capital X in the denom! haha! thanks for your help polpak - you rock out!
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