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derivering

Posted: 09/12-2010 13:43
by gill
I sluttten av oppgave 2b deriverer de et uttrykk. Kan noen vise framgangsmåten?

https://acrobat.com/app.html#d=ZcnoQS1TU92ZxH0s6uZ1ag

Her er oppgaven:

https://acrobat.com/app.html#d=XMRfcHYiNvB6rP5YtwXVOQ

Posted: 09/12-2010 14:15
by Gustav
[tex]g(x)=\frac{x^2}{x-f}[/tex]

[tex]g^,(x)=\frac{2x}{x-f}-\frac{x^2}{(x-f)^2}=\frac{2x(x-f)-x^2}{(x-f)^2}=\frac{x^2-2fx}{(x-f)^2}[/tex]