Final answer:
To find the critical points of the function, differentiate it, set the derivative equal to zero, and check for undefined points.
Step-by-step explanation:
To find the critical points of the function, we need to find the values of x where the derivative of the function is equal to zero or does not exist.
Step 1: Differentiate the function f(x) = -4x³ - x² + 4x/(x - 1) using the quotient rule.
Step 2: Set the derivative equal to zero and solve for x.
Step 3: Check if the derivative is undefined at x = 1 and include it as a critical point if it is.
The critical points of the function are the values of x where the derivative is equal to zero or does not exist.