Evaluate:
`(d)/(dx)(x^(1//5))`

Explanation

To evaluate the derivative of the function \( y = x^{1/5} \), we will follow these steps:

### Step 1: Identify the function
We start with the function:
\[ y = x^{1/5} \]

### Step 2: Apply the power rule
The power rule for differentiation states that if \( y = x^n \), then the derivative \( \frac{dy}{dx} \) is given by:
\[ \frac{dy}{dx} = n \cdot x^{n-1} \]
In our case, \( n = \frac{1}{5} \).

### Step 3: Differentiate the function
Using the power rule:
\[ \frac{dy}{dx} = \frac{1}{5} \cdot x^{\frac{1}{5} - 1} \]

### Step 4: Simplify the exponent
Now we simplify the exponent:
\[ \frac{1}{5} - 1 = \frac{1}{5} - \frac{5}{5} = -\frac{4}{5} \]
Thus, we have:
\[ \frac{dy}{dx} = \frac{1}{5} \cdot x^{-\frac{4}{5}} \]

### Step 5: Write the final answer
The derivative of \( y = x^{1/5} \) is:
\[ \frac{dy}{dx} = \frac{1}{5} x^{-\frac{4}{5}} \]

### Summary
The final answer is:
\[ \frac{dy}{dx} = \frac{1}{5} x^{-\frac{4}{5}} \]

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