216y^6+12y^2-31^3 eching

$$216 y ^ { 6 } + 12 y ^ { 2 } - 31 ^ { 3 }$$

y ga nisbatan hosilani topish

$$1296y^{5}+24y$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

3 daraja ko‘rsatkichini 31 ga hisoblang va 29791 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(216y^{6}+12y^{2}-29791)$$

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

$$6\times 216y^{6-1}+2\times 12y^{2-1}$$

6 ni 216 marotabaga ko'paytirish.

$$1296y^{6-1}+2\times 12y^{2-1}$$

6 dan 1 ni ayirish.

$$1296y^{5}+2\times 12y^{2-1}$$

2 ni 12 marotabaga ko'paytirish.

$$1296y^{5}+24y^{2-1}$$

2 dan 1 ni ayirish.

$$1296y^{5}+24y^{1}$$

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

$$1296y^{5}+24y$$

Baholash

$$216y^{6}+12y^{2}-29791$$

Yechim qadamlari

3 daraja ko‘rsatkichini 31 ga hisoblang va 29791 ni qiymatni oling.

$$216y^{6}+12y^{2}-29791$$