Question

find (d)/(dx)(sqrt(x)+(1)/(sqrt(x)))^(2)

Answer 1

Answer:

answered in the attachment

Answer 2

Answer:

$function = > \\ \\ = > z =( { \frac{ \sqrt{x} + 1 }{ \sqrt{x} } )}^{2} \\ \\ = > z = {(1 + \frac{1}{ \sqrt{x} }) }^{2} \\ \\ = > z = 1 + \frac{1}{x} + \frac{2}{ \sqrt{x} } \\ \\ = > \frac{dz}{dx} = - \frac{1}{ {x}^{2} } + 2(\frac{ - 1}{2 {x}^{ \frac{3}{2} } } ) \\ \\ = > \frac{dz}{dx} = - \frac{1}{ {x}^{2} } - \frac{1}{ {x}^{ \frac{3}{2} } }$