Differentiate each function by applying the basic rules of differentiation
`1//xsqrt(x)`

Explanation

To differentiate the function \( y = \frac{1}{x\sqrt{x}} \), we can follow these steps:

### Step 1: Rewrite the function
The function can be rewritten in terms of exponents. We know that \( \sqrt{x} = x^{1/2} \). Therefore, we can express the function as:
\[ y = \frac{1}{x \cdot x^{1/2}} = \frac{1}{x^{1 + 1/2}} = \frac{1}{x^{3/2}} \]

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