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Mathematics 19 Online
OpenStudy (1018):

please explain this: (problem's in the comments section) Thanks.

OpenStudy (1018):

Find \[\frac{ d^2y }{ dx^2 }\] of y=x/1-x

OpenStudy (kc_kennylau):

\[y=\frac x{1-x}?\]

OpenStudy (1018):

Yes. :)

OpenStudy (kc_kennylau):

\[y=\frac{x-1}{1-x}+\frac1{1-x}=-1+\frac1{1-x}\]

OpenStudy (kc_kennylau):

\[\frac{dy}{dx}=\frac d{dx}\frac1{1-x}=\frac1{(1-x)^2}\]

OpenStudy (1018):

Yes, that's the derivative, but then, how to get the d^2? I don't know that one.

OpenStudy (kc_kennylau):

It's like finding the derivative's derivative

OpenStudy (1018):

What do I do if the d has an exponent?

OpenStudy (kc_kennylau):

\[\frac{d^2y}{(dx)^2}=\frac d{dx}\frac{dy}{dx}=\frac d{dx}\frac1{(1-x)^2}\]

OpenStudy (kc_kennylau):

Just a notation

OpenStudy (1018):

Oh, oh I got it. Thanks!

OpenStudy (kc_kennylau):

np :)

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