Final answer:
The task of finding the hundredth derivative of the given polynomial function is impractical without a simplifying method or pattern; common differentiation methods are not feasible for such high order derivatives. Computing software may be needed.
Step-by-step explanation:
The question involves finding the hundredth derivative of a given polynomial function. However, this is a very complex task because the usual methods of differentiating term by term would be extremely cumbersome. Calculating high order derivatives directly is generally not feasible.
As such, without a specific method or pattern that simplifies the process, it is not practical to solve the mathematical problem completely, especially since the function does not easily lend itself to patterns that simplify higher-order derivatives. A typical approach in situations like this might involve generating functions or other advanced techniques, which may provide a pattern for the derivatives.
Otherwise, one might resort to mathematic software capable of symbolically computing derivatives. In this case, due to the complexity and lack of a clear approach presented in the question, we cannot provide the hundredth derivative explicitly.