If y = (√(x/a) + √(x/a)), prove that (2xy) (dy/dx) = (x/a - a/x).

Question

If \(\text{y}=\left(\sqrt{\frac{x}{a}}+\sqrt{\frac{x}{a}}\right),\) prove that (2xy)\(\left(\frac{dy}{dx}\right)\) \(=\left(\frac{x}{a}-\frac{a}{x} \right).\)

y = (√(x/a) + √(x/a)),

Answer 1

To prove:

Differentiating y with respect to x