`f(x) = (3x - 1)/(sqrt(x))` Find the derivative of the algebraic function.

Expert Answers
hkj1385 eNotes educator| Certified Educator

`f(x) = (3x-1)/sqrt(x)`

`or, f(x) = (3*sqrt(x)) - (1/sqrt(x))`

`or, f'(x) = (3/2)*(1/sqrt(x)) + (1/2)*(1/x^(3/2)) `

`or, f'(x) = {(1/2)*(1/sqrt(x))*[3 + (1/x)]`

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