MATH100 Lecture 16: 16_Max. & Min. Values (4.1)

*****************Calculus help! Please explain/show all work as I am trying to understand this problem.

Given the function: f(x) = x-2sin(x) on [0,2pi]

a.) Find the exact values of the first order critical numbers

b.) Find the exact values of the absolute min and max

c.) Find the exact value of any inflection points

Find the absolute maximum and absolute minimum values of f on thegiven interval.
f(x) = x^3 - 3x + 1
[0,3]

min=
max=