(-1)^3y^5-232-2^2 eching

$$( - 1 ) ^ { 3 } y ^ { 5 } - 232 - 2 ^ { 2 }$$

Baholash

$$-y^{5}-236$$

Yechim qadamlari

3 daraja ko‘rsatkichini -1 ga hisoblang va -1 ni qiymatni oling.

$$-y^{5}-232-2^{2}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$-y^{5}-232-4$$

-236 olish uchun -232 dan 4 ni ayirish.

$$-y^{5}-236$$

y ga nisbatan hosilani topish

$$-5y^{4}$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

3 daraja ko‘rsatkichini -1 ga hisoblang va -1 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{5}-232-2^{2})$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{5}-232-4)$$

-236 olish uchun -232 dan 4 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{5}-236)$$

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

$$5\left(-1\right)y^{5-1}$$

5 ni -1 marotabaga ko'paytirish.

$$-5y^{5-1}$$

5 dan 1 ni ayirish.

$$-5y^{4}$$