`"Find "(dy)/(dx)" for "y=log(x+sqrt(a^(2)+x^(2))).`

Explanation

To find \(\frac{dy}{dx}\) for the function \(y = \log\left(x + \sqrt{a^2 + x^2}\right)\), we will differentiate \(y\) with respect to \(x\) step by step.

### Step-by-Step Solution:

1. **Write down the function**:
\[ y = \log\left(x + \sqrt{a^2 + x^2}\right) \]
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