how do I find the extreme points?

y = x(sin(x))^2 with a domain interval of [-0.5, 0.5]

Have been trying to work this problem out and can't seem to figure it out..

Answer 1

[KSSV]

clc; clear all ;
x = linspace(-0.5,0.5) ;
y = x.*(sin(x)).^2 ;
plot(x,y) ;
% extreme points 
[x(1) y(1)]
[x(end) y(end)]

[Chad Love]

Thank you!!

Answer 2

[Robin Sah]

clc; clear all ;

x = linspace(-0.5,0.5) ;

y = x.*(sin(x)).^2 ;

plot(x,y) ;

% extreme points

[x(1) y(1)]

[x(end) y(end)]