the function is x/(square root(x-1)) . find the derivative with respect to x

so i have this so far;

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

im stuck for the next steps

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- Mar 19th 2011, 07:48 AMnando29finishing a quotient rule problem
the function is x/(square root(x-1)) . find the derivative with respect to x

so i have this so far;

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

im stuck for the next steps - Mar 19th 2011, 08:01 AMicemanfan
Hi Nando, your first step is not quite correct. The denominator should just be , not . You might want to consider writing the original function as . This way you can take the derivative easily without having to use the quotient rule.