A cura di: Administrator

Derivare la seguente funzione

$f(x) = sqrt{frac{x – 2}{x}} = (frac{x – 2}{x})^{1/2}$ $f'(x) = frac{1}{2}cdot (frac{x – 2}{x})^{-1/2}cdot frac{x – (x – 2)}{x^2} =$ $frac{1}{2}cdot frac{(x – 2)^{-1/2}}{x^{-1/2}}cdot frac{2}{x^2} =$ $frac{(sqrt{x – 2})^{-1}}{x sqrt{x}} = frac{1}{x sqrt{x (x – 2)}}$