from sage.plot.circle import Circle
@interact
def myplot(f=0,xmin = -1, xwidth = 1):
    xman = xmin + xwidth
    p1 = plot(f,(xmin,xman),thickness = 1.5)
    roots = solve(f,x)
    show('Корни уравнения:', roots)
    for i in range(len(roots)):
        roots[i] = roots[i].rhs()
    circles = [j for j in range(len(roots))]
    for i in range(len(circles)):
        circles[i] = circle((roots[i],0),0.2)
        p1+=circles[i]
    p1 += plot(diff(f,x),(xmin,xman),thickness=0.6,color = 'green')
    diffRoots = solve(diff(f),x)
    show('Точки экстремума: ', diffRoots)
    for i in range(len(diffRoots)):
        diffRoots[i] = diffRoots[i].rhs()
    diffCircles = [j for j in range(len(diffRoots))]
    for i in range(len(diffCircles)):
        diffCircles[i] = circle(((diffRoots[i]),0), 0.2,color = 'green')
        p1+=diffCircles[i]
    show(p1)