Find the derivative of the following function at the indicated point: `sin2x"\ "a t"\ "x=pi/2`

Explanation

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

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

### Step 1: Identify \( c \)
Here, we have \( c = \frac{\pi}{2} \).
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