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Mathematics 13 Online
OpenStudy (chris215):

Find the derivative dy/dx for y=(x^3-5x)/(x^2-1)

OpenStudy (chris215):

OpenStudy (chris215):

i got a

OpenStudy (lochana):

yes. that is how it works

OpenStudy (chris215):

ok thank you :)

OpenStudy (lochana):

but wait. there is something wrong.

OpenStudy (solomonzelman):

Those are the options ?

OpenStudy (solomonzelman):

If so, then row #1 is correct!

OpenStudy (chris215):

yeah

OpenStudy (lochana):

\[y=\frac{x^3-5x}{x^2-1} \] \[\frac{dy}{dx}=\frac{(x^2-1)(3x^2-5) - (x^3 -5x)(2x)}{(x^2-1)^2} \] \[\frac{dy}{dx}=\frac{(3x^4-5x^2 -3x^2 +5)- (2x^4 - 10x^2)}{(x^2-1)^2} \]

OpenStudy (lochana):

so the first one is the answer

OpenStudy (chris215):

thank you!

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