Question

Find maximum value of :-
\(|(x-x_0)(x-x_1)(x-x_2)|\)

Answer 1

Let
\(f(x)=(x-x_0)(x-x_1)(x-x_2)\)
f(x) will be at an extremum when f'(x)=0.
Set f'(x)=0 and solve for x (2 roots).
Compare and report the maximum of the absolute value of the two roots.