Final answer:
The student's question involves finding the derivative h'(a) for a given function. However, the necessary details to calculate the derivative are missing or unclear. Additional information is needed to proceed.
Step-by-step explanation:
The question asks to find the derivative h'(a) of the given function h(x) = (f(x) / g(x))^2 at the given value a = 3. To find h'(a), we need to apply the chain rule and the quotient rule from calculus. However, the information provided in the table is unclear and doesn't directly relate to the function h(x). Without correct values of f(x) and g(x) at x=a or x=3, it's impossible to proceed with the calculation. Therefore, additional information is needed to accurately compute the derivative.