Question

differentiate (√x +1/√x)^5​

Answer 1

Answer:

$y = (\sqrt{x} + \frac{1}{ \sqrt{x} } ) ^{5 } \\ \\ \frac{dy}{dx} = 5( \sqrt{x} + \frac{1}{ \sqrt{x} } ) ^{4} \: \: \frac{d}{dx} ( \sqrt{x} + \frac{1}{ \sqrt{x} } ) \\ \\ \frac{dy}{dx} = 5( \sqrt{x} + \frac{1}{ \sqrt{x} } ) (\frac{1}{2 \sqrt{x} } - \frac{1}{2} {x}^{ \frac{ - 3}{2} } ) \\ \\ \frac{dy}{dx} = (5 \sqrt{x} + \frac{5}{ \sqrt{x} } )( \frac{1}{2 \sqrt{x} } - \frac{1}{2 {x}^{ \frac{3}{2} } } ) \\ \\ \frac{dy}{dx} = 5 - \frac{5 \sqrt{x} }{2 {x}^{ \frac{3}{2} } } + \frac{5}{2x} - \frac{5}{2 \sqrt{x} {x}^{ \frac{3}{2} } }$

Hope it helps uh☺

Answer 2

A

Step-by-step explanation: