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January 31, 2015

January 31, 2015

Posted by **Liz** on Sunday, April 15, 2012 at 5:25pm.

Differentiate:

y=(x^2-1)^(1/2)/x^2

- Calculus -
**####Nadine####**, Sunday, April 15, 2012 at 6:56pmChain and quotient rule

((1/2)(2x)(x^2-1)^-1/2)x^2 -2x(x^2-1)^1/2)/x^4

simplifies to

(x^3(x^2-1)^-1/2 -2x(x^2-1)^1/2)/x^4

simplifies to

(x^2-1)^-1/2(x^2)-2(x^2-1))/x^3

final answer

((x^2-1)^(-1/2))(-x^2+2)/x^3

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