Consider the functionn, find the critical points of f(x) and determine the local maxima and minima. (give both x and y coordinates) on the given interval. part (b) Find the absolute maxima and minima of f(x)(give both x and y coordinates) on the given interval.
f(x)=x^3-6x^2+9x+2 on the interval [-1,4]
For this problem, I took the derivative of f(x).
f'(x)=3x^2-12x+9
Then i Made a table and plugged in all the numbers within -1-4. Then i'm stuck.