8x^3+5+7x^2+6x? eching

$$8 x ^ { 3 } + 5 + 7 x ^ { 2 } + 6 x ?$$

x ga nisbatan hosilani topish

$$24x^{2}+14x+6$$

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}.

$$3\times 8x^{3-1}+2\times 7x^{2-1}+6x^{1-1}$$

3 ni 8 marotabaga ko'paytirish.

$$24x^{3-1}+2\times 7x^{2-1}+6x^{1-1}$$

3 dan 1 ni ayirish.

$$24x^{2}+2\times 7x^{2-1}+6x^{1-1}$$

2 ni 7 marotabaga ko'paytirish.

$$24x^{2}+14x^{2-1}+6x^{1-1}$$

2 dan 1 ni ayirish.

$$24x^{2}+14x^{1}+6x^{1-1}$$

1 dan 1 ni ayirish.

$$24x^{2}+14x^{1}+6x^{0}$$

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

$$24x^{2}+14x+6x^{0}$$

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

$$24x^{2}+14x+6\times 1$$

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

$$24x^{2}+14x+6$$

Baholash

$$8x^{3}+7x^{2}+6x+5$$