Question

If y= (✓x + 1/✓x)^2 then dy/dx​

Answer 1

Before differentiating, let's simplify the equation of y first:-

(√x + 1/√x)²

» x + 1/x + 2 (By the identity: (a + b)² = a² + b² + 2ab)

» x + x^-1 + 2

Now, the differentiation:-

dy/dx

» d(x + x^-1 + 2)/dx

» 1 + (-1)x^-2 + 0

» 1 - 1/x²

Answer 2

hope its clear..................