Find the derivative of the function at the indicated point: `sin x \ at \ x=pi/2`

Explanation

To find the derivative of the function \( f(x) = \sin x \) at the point \( x = \frac{\pi}{2} \), we will use the definition of the derivative. The derivative \( f'(c) \) at a point \( c \) is defined as:

\[ f'(c) = \lim_{h \to 0} \frac{f(c + h) - f(c)}{h} \]

### Step 1: Identify the function and the point
Here, our function is \( f(x) = \sin x \) and the point \( c = \frac{\pi}{2} \).
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