Find the derivative of sin x at `x = 0`.

Explanation

To find the derivative of \( \sin x \) at \( x = 0 \), we will use the first principles of derivatives.

### Step-by-Step Solution:

1. **Understanding the Derivative**:
The derivative of a function \( f(x) \) at a point \( x \) can be defined using the limit:
\[
f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}
...