3m^3+5m^2+5m-3 eching

$$3 m ^ { 3 } + 5 m ^ { 2 } + 5 m - 3$$

m ga nisbatan hosilani topish

$$9m^{2}+10m+5$$

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}.

$$3\times 3m^{3-1}+2\times 5m^{2-1}+5m^{1-1}$$

3 ni 3 marotabaga ko'paytirish.

$$9m^{3-1}+2\times 5m^{2-1}+5m^{1-1}$$

3 dan 1 ni ayirish.

$$9m^{2}+2\times 5m^{2-1}+5m^{1-1}$$

2 ni 5 marotabaga ko'paytirish.

$$9m^{2}+10m^{2-1}+5m^{1-1}$$

2 dan 1 ni ayirish.

$$9m^{2}+10m^{1}+5m^{1-1}$$

1 dan 1 ni ayirish.

$$9m^{2}+10m^{1}+5m^{0}$$

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

$$9m^{2}+10m+5m^{0}$$

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

$$9m^{2}+10m+5\times 1$$

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

$$9m^{2}+10m+5$$

Baholash

$$3m^{3}+5m^{2}+5m-3$$