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OpenStudy (anonymous):
this better be good
haven't had a good question all night
OpenStudy (anonymous):
\[(x^2+4x+3)/\sqrt(x)\]
OpenStudy (anonymous):
divide
OpenStudy (anonymous):
\[\huge x^{\frac{3}{2}}+4x^{\frac{1}{2}}+3x^{-\frac{1}{2}}\] then use the all mighty power rule
OpenStudy (anonymous):
i used the quotient rule
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OpenStudy (anonymous):
what a pain in the butt that must have been
good luck simplifying at the end
OpenStudy (anonymous):
what should i do?
OpenStudy (anonymous):
you get an annoying compound fraction when you do that
OpenStudy (anonymous):
did you get how i got from
\[\frac{x^2+4x+3}{\sqrt{x}}\] to \[ \large x^{\frac{3}{2}}+4x^{\frac{1}{2}}+3x^{-\frac{1}{2}}\]??
OpenStudy (anonymous):
divided each term by \(\sqrt{x}\) which was really subtacting \(\frac{1}{2}\) from each exponent, since
\[\frac{x^2+4x+3}{\sqrt{x}}=\frac{x^2+4x+3}{x^{\frac{1}{2}}}\]
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OpenStudy (anonymous):
omg i go it! thanks
OpenStudy (anonymous):
then you get to use the easy peasy power rule instead of the pita quotient rule