Question

differentiate (√x+1/√x)^2​

Answer 1

Explanation:

The easiest way is to expand the square as x+2+1x . You should be able to differentiate this.

Alternatively it is a composite function. First differentiate the square 2(x−−√+1x√) , then multiply by the derivative of x−−√+1x√ . This is 12x√−12x3√ .

Here’s an exercise for you: multiply these out and verify that the answer is the same as the first method.