Final answer:
The student must provide the explicit forms of the functions f(x) and g(x) to compute the derivative using the product rule and evaluate it at x = 2.
Step-by-step explanation:
The student is asking to find the derivative of the product of two functions f(x) and g(x), represented as dx(f(x)g(x)), and to evaluate this derivative at x = 2. To find the derivative of the product of two functions, we use the product rule from calculus. The product rule states that the derivative of f(x)g(x) is f'(x)g(x) + f(x)g'(x). Once the derivative is found, it needs to be evaluated at x = 2 to find the specific value which corresponds to one of the provided options (A, B, C, or D).
To answer this question accurately, we need the explicit forms of f(x) and g(x), which are not provided in the question. Without these functions, we cannot compute the derivative or evaluate it at a given point. Therefore, we must ask the student to provide the missing information in order to complete the calculation.