3-6-sydow.html

with(plots); -1

f := proc (x) options operator, arrow; `+`(`*`(`^`(x, 5)), `-`(`*`(5, `*`(`^`(x, 4)))), `-`(`*`(`^`(x, 3))), `*`(28, `*`(`^`(x, 2))), `-`(`*`(2, `*`(x)))) end proc

proc (x) options operator, arrow; `+`(`*`(`^`(x, 5)), `-`(`*`(5, `*`(`^`(x, 4)))), `-`(`*`(`^`(x, 3))), `*`(28, `*`(`^`(x, 2))), `-`(`*`(2, `*`(x)))) end proc

fp := D(f)

proc (x) options operator, arrow; `+`(`*`(5, `*`(`^`(x, 4))), `-`(`*`(20, `*`(`^`(x, 3)))), `-`(`*`(3, `*`(`^`(x, 2)))), `*`(56, `*`(x)), `-`(2)) end proc

fpp := D(fp)

proc (x) options operator, arrow; `+`(`*`(20, `*`(`^`(x, 3))), `-`(`*`(60, `*`(`^`(x, 2)))), `-`(`*`(6, `*`(x))), 56) end proc

0., 0.7167687162e-1, `+`(3.510312867, `*`(1.006841751, `*`(I))), -2.092302606, `+`(3.510312867, `-`(`*`(1.006841751, `*`(I))))

0.3579918077e-1, 2.622735166, 2.841010876, -1.499545222

(`+`(2.735481343, `-`(`*`(0.3e-9, `*`(I)))), `+`(`-`(.8880731574), `-`(`*`(0.2464101616e-9, `*`(I)))), `+`(1.152591815, `*`(0.4464101616e-9, `*`(I)))) = 0.

[114, -36, 36, -.6095, 4]

[-18, 10, -36, 38]

[20.89699638, 26.57072652, 56.78227711]

f := proc (x) options operator, arrow; `/`(`*`(`+`(`*`(`^`(x, 4)), `-`(`*`(`^`(x, 3))), `-`(8))), `*`(`+`(`*`(`^`(x, 2)), `-`(x), `-`(6)))) end proc

proc (x) options operator, arrow; `/`(`*`(`+`(`*`(`^`(x, 4)), `-`(`*`(`^`(x, 3))), `-`(8))), `*`(`+`(`*`(`^`(x, 2)), `-`(x), `-`(6)))) end proc

fp := D(f)

`+`(`/`(`*`(2, `*`(`+`(`*`(`^`(x, 5)), `-`(`*`(2, `*`(`^`(x, 4)))), `-`(`*`(11, `*`(`^`(x, 3)))), `*`(9, `*`(`^`(x, 2))), `*`(8, `*`(x)), `-`(4)))), `*`(`^`(`+`(`*`(`^`(x, 2)), `-`(x), `-`(6)), 2))))

fpp := D(f)

`+`(`/`(`*`(2, `*`(`+`(`*`(`^`(x, 5)), `-`(`*`(2, `*`(`^`(x, 4)))), `-`(`*`(11, `*`(`^`(x, 3)))), `*`(9, `*`(`^`(x, 2))), `*`(8, `*`(x)), `-`(4)))), `*`(`^`(`+`(`*`(`^`(x, 2)), `-`(x), `-`(6)), 2))))