<p>The derivative of <span>\(f(x-3) \cdot g(x)\)</span> with respect to x at <span>\(x = 100\)</span> is</p>
Step-by-Step Solution
Key Concept: Apply the product rule carefully and evaluate at the specific point using given boundary conditions.
<p>Using the product rule: <span>$\frac{d}{dx}[f(x-3) \cdot g(x)] = f'(x-3) \cdot g(x) + f(x-3) \cdot g'(x)$</span>. At <span>$x = 100$</span>, we evaluate using the given conditions and the relationship from the comprehension.</p>
Correct Answer: A