19x^3+54x^2+1x+6 eching

$$19 x ^ { 3 } + 54 x ^ { 2 } + 1 x + 6$$

x ga nisbatan hosilani topish

$$57x^{2}+108x+1$$

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}.

$$3\times 19x^{3-1}+2\times 54x^{2-1}+x^{1-1}$$

3 ni 19 marotabaga ko'paytirish.

$$57x^{3-1}+2\times 54x^{2-1}+x^{1-1}$$

3 dan 1 ni ayirish.

$$57x^{2}+2\times 54x^{2-1}+x^{1-1}$$

2 ni 54 marotabaga ko'paytirish.

$$57x^{2}+108x^{2-1}+x^{1-1}$$

2 dan 1 ni ayirish.

$$57x^{2}+108x^{1}+x^{1-1}$$

1 dan 1 ni ayirish.

$$57x^{2}+108x^{1}+x^{0}$$

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

$$57x^{2}+108x+x^{0}$$

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

$$57x^{2}+108x+1$$

Baholash

$$19x^{3}+54x^{2}+x+6$$