Study the scenario and complete the question$($S$)$ that follow:

Cloud Computing

A systems analyst works for a large IT company that manages cloud computing resources for various clients. His primary responsibility is to ensure optimal server performance and load balancing to prevent any downtime and maintain high efficiency. One of his tasks is to analyse the load balancing function, represented by the mathematical function,

$f(x)=\frac{x^4}{4}-\frac{x^3}{3}-3x^2+10$

To optimize server load balancing, he needs to find the critical points of the function on the interval, $-4,4.$

Source: Mafemba, J$.2024$

Calculate the critical points of the function given in the scenario above.

$(10$ Marks$)$