9^4+7a^2+16 eching

$$9 ^ { 4 } + 7 a ^ { 2 } + 16$$

Baholash

$$7a^{2}+6577$$

Yechim qadamlari

4 daraja ko‘rsatkichini 9 ga hisoblang va 6561 ni qiymatni oling.

$$6561+7a^{2}+16$$

6577 olish uchun 6561 va 16'ni qo'shing.

$$6577+7a^{2}$$

a ga nisbatan hosilani topish

$$14a$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

4 daraja ko‘rsatkichini 9 ga hisoblang va 6561 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6561+7a^{2}+16)$$

6577 olish uchun 6561 va 16'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6577+7a^{2})$$

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

$$2\times 7a^{2-1}$$

2 ni 7 marotabaga ko'paytirish.

$$14a^{2-1}$$

2 dan 1 ni ayirish.

$$14a^{1}$$

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

$$14a$$