Solve: \(\Big(\sqrt x + \frac{1}{\sqrt x}\Big)^2\)

1.	Solve: \(\Big(\sqrt x + \frac{1}{\sqrt x}\Big)^2\)
Answer» Let y = \(\Big(\sqrt x + \frac{1}{\sqrt x}\Big)^2\) = x + \(\frac{1}{x}\) + 2 \(\frac{dy}{dx}\) = 1 - \(\frac{1}{x^2}\) + 0 = 1 - \(\frac{1}{x^2}\)

Answer»

Let y = \(\Big(\sqrt x + \frac{1}{\sqrt x}\Big)^2\)

= x + \(\frac{1}{x}\) + 2

\(\frac{dy}{dx}\) = 1 - \(\frac{1}{x^2}\) + 0 = 1 - \(\frac{1}{x^2}\)

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