Question

The differentiation of ${y = \sqrt{x} - \frac{1}{ \sqrt{x} }}$ w.r.t x is
$1) \: \frac{x + 1}{2 {x}^{ \frac{3}{2} } }$
$2) \frac{1}{2} \sqrt{x}$
$3)2 \sqrt{x}$
$4) \frac{2}{ {x}^{ \frac{3}{2} } }$
Give answer with proper explanation.



​

Answer 1

Answer:

$\huge\mathfrak\red{Hello!!}$

we have

$y = \sqrt{x} - \frac{1}{ \sqrt{x} }$

$we \: can \: write \: it \:$

$y = \sqrt{x} - {x}^{ \frac{ - 1}{2} }$

$differentiate \: with \: respect \: to \: x$

$\frac{dy}{dx } = \frac{1}{2 \sqrt{x} } + \frac{1}{2x \sqrt{x} }$

after that , please refer to the attachment

hope it helps u

Answer 2

Answer

Refer to the attachment for the answer