7x^3+21x^2+3x-9 eching

$$7 x ^ { 3 } + 21 x ^ { 2 } + 3 x - 9$$

x ga nisbatan hosilani topish

$$21x^{2}+42x+3$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$3\times 7x^{3-1}+2\times 21x^{2-1}+3x^{1-1}$$

3 ni 7 marotabaga ko'paytirish.

$$21x^{3-1}+2\times 21x^{2-1}+3x^{1-1}$$

3 dan 1 ni ayirish.

$$21x^{2}+2\times 21x^{2-1}+3x^{1-1}$$

2 ni 21 marotabaga ko'paytirish.

$$21x^{2}+42x^{2-1}+3x^{1-1}$$

2 dan 1 ni ayirish.

$$21x^{2}+42x^{1}+3x^{1-1}$$

1 dan 1 ni ayirish.

$$21x^{2}+42x^{1}+3x^{0}$$

Har qanday t sharti uchun t^{1}=t.

$$21x^{2}+42x+3x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$21x^{2}+42x+3\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$21x^{2}+42x+3$$

Baholash

$$7x^{3}+21x^{2}+3x-9$$