Question

Derivar la siguiente expresión:

Answer 1

Explicación paso a paso:

$\frac{1}{(x + { \frac{1}{x} )}^{2} } \\ = \frac{1}{ {x}^{2} + 2 \frac{x}{x} + { \frac{1}{2} }^{2} } \\ \frac{1}{ {x}^{2} + 2 + \frac{1}{4} } \\ \frac{1}{ {x}^{2} + \frac{9}{4} } \\ \frac{1}{ \frac{4 {x}^{2} + 9 }{4} } = \frac{4}{4 {x }^{2} + 9}$