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Mathematics 21 Online
OpenStudy (anonymous):

Differentiate please

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

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 \[\frac{x^2+4x+3}{\sqrt{x}}=\frac{x^2+4x+3}{x^{\frac{1}{2}}}\]

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

OpenStudy (anonymous):

yw

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