Extremal value problems: Problems with Solutions

Problem 1
Find the minimal value of the function [tex]f(x)=3x^3-9x^2+6[/tex] for [tex]x \in [-1;5][/tex].
Problem 2
Find the maximum value of the function [tex]f(x)=x-5[/tex] if x is a number between -5 and 13.
Problem 3
Find the maximal value for the function [tex]f(x)=4sin(x)[/tex]
Problem 4
Find the minimal value for the function [tex]f(x)=|x|-1[/tex].
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