turunan pertama dari y = akar x²+4/x²

[tex]y = \sqrt{ {x}^{2} + \frac{4}{ {x}^{2} } } \\ = \sqrt{ {x}^{2} + 4. {x}^{ - 2} }\\ = {( {x}^{2} + 4. {x}^{ - 2} ) }^{ \frac{1}{2} } \\ y' = \frac{1}{2} ( {x}^{2} + 4. {x}^{ - 2} ) ^{ - \frac{1}{2}}.(2x - 8 {x}^{ - 1} ) \\ = \frac{x - \frac{4}{x} }{ \sqrt{ {x}^{2} + \frac{4}{ {x}^{2} } } } [/tex]