§ 1. Ìíîãî÷ëåíû íàä îáëàñòüþ öåëîñòíîñòè
- ¹ 11. Äàíìíîãî÷ëåí f(x). Íàéäèòå çíà÷åíèå ìíîãî÷ëåíà
- f(x) è âñåõ åãî ïðîèçâîäíûõ âòî÷êå õ0 = ñ, åñëè:
11.01.
f(x) = 3x5 – 2x4 – x3 + 2x2 – 4x + 6, x0 = 3;
11.02.
f(x) = 2x6 – x4 + 3x2 – x – 8, x0 = 2;
11.03.
f(x)= 4x4 – 4x3 + 3x2
– 2x + 6, x0 = –3;
11.04.
f(x)= 3x6 – 2x4 + 3x3 – 4x + 1, x0 =
–2;
11.05.
f(x) = 2x5 – 3x4 – 4x3 + x2 – x – 2, x0 = 2;
11.06.
f(x)= 4x5 – 2x3 – 2x2 + 4x + 6, x0 = –3;
11.07.
f(x)= 4x6 – x5 + x4 – 3x2 + 2x – 1, x0
= 4;
11.08.
f(x) = 5x4 – 4x3 – 3x2 + x – 6, x0 =
–4;
11.09.
f(x) = 3x6 – 2x3 – 4x2 + 3x – 4, x0
= 2;
11.10.
f(x) = 3x6 – 2x5 – 4x3 – 2x + 8, x0 =
4;
11.11.
f(x)= 2x6 – 3x5 + 2x4 – x3 – 2x + 6, x0
= 3;
11.12.
f(x)= 3x5 – 4x3 + 2x2 – 4x + 6, x0 = –3;
11.13.
f(x)= 4x6 – 3x5 – 2x4 – 3x + 5, x0 = 2;
11.14.
f(x) = 3x6 – 2x5 + 8x2 – 4x – 3, x0 = –2;
11.15.
f(x) = 5x4 – 4x3 + 3x2 – 2x + 19, x0
= 4;
11.16.
f(x) = 3x5 – 2x4 – 3x2 + x – 7, x0 = –2;
11.17.
f(x) = 6x7 – 3x5 – 2x4 + x3 – 4, x0 = 1;
11.18.
f(x) = 7x6 – 5x5 – 4x3 + 2x2 – 2x + 8, x0 = –1;
11.19.
f(x) = 5x7 – 4x4 + 3x2 + 6x + 4, x0 =
–1;
11.20.
f(x) = 6x7 – 4x4 – 3x3 + 4x2 – 6x – 3, x0 = 1;
11.21.
f(x) = 3x4 – 4x3
+ 8x2 – 6x + 18, x0 = 2;
11.22.
f(x) = 3x5 – 4x3 + 2x2 – 3x – 20, x0 = 2;
11.23.
f(x) = 2x5
– 4x3 + 6x2 – 7x + 19, x0 = –1;
11.24.
f(x) = 3x6 – 2x5 – x4 – 3x2 + 6, x0 = –1;
11.25.
f(x) = 7x6
– 2x4 – 3x2 + 2x – 18, x0 = 1;
11.26.
f(x)= –2x4 – 3x3 + 6x2 – 8x + 6, x0 = 3;
11.27.
f(x)= –3x4 – 2x3 – 5x2 + 6x – 18, x0 =
–3;
11.28.
f(x)= –5x4 + 2x3 – 6x2 – x – 7, x0 =
–4;
11.29.
f(x) = 2x6
– 3x5 – 4x2 – 3x + 1, x0 =
4;
11.30.
f(x) = 2x6
– 3x5 + 7x2 + x – 21, x0 = 2;
11.31.
f(x) = 8x5 – 3x3 – 2x2 + 6x + 2, x0 =
1;
11.32.
f(x)= 3x6 – x5 + 2x4 + 3x – 10, x0 = 2;
11.33.
f(x)= 4x6 – 2x4 + 3x3 – 6x + 18, x0 =
–2;
11.34.
f(x)= 7x5 – 2x3 – 4x2 + 8x – 21, x0 =
–1;
11.35.
f(x)= 4x7 – 2x6 + x3
– 2x2 + 6x – 10, x0 = 1;
11.36.
f(x)= 7x5 – 6x4 + x3 – 12x2 + x – 20, x0
= 4.
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