Final answer:
To find critical values for a polynomial function, differentiate the function with respect to x, set the derivative equal to zero, and solve for x. The actual function provided has a typo, which prevents a specific answer.
Step-by-step explanation:
For the function f(x) which appears to be an incorrectly transcribed polynomial, one would normally find the critical values by taking the first derivative of the function and setting it equal to zero or finding where it is undefined. However, in the current form f(x)=4x3x2+1, the expression is unclear due to possible typo. Assuming the correct form of function is a polynomial, one would differentiate it with respect to x and solve the resulting equation for x to find the critical points or identify values where the derivative does not exist. Without the specific correct function, we cannot provide a step-by-step calculation. However, for a polynomial function, the process would involve applying power rule for each term, setting the derivative equal to zero, and solving for x to determine critical values.