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Help me look at a math problem, a difficult problem in junior high school. How to determine the maximum and minimum of cubic function? What is the following question?
f(x)=x^3- 12x+8,

f'(x)=3x^2- 12=0,

X= soil 2.

f(-2)=24,

f(2)=-8,

f(-3)= 17,

f(3)=- 1,

Therefore, its maximum value M=24 and minimum value m=-8 are in the interval [-3,3].

M-m=32。