66+4^2+26^2-4+3a^2-206 eching

$$66 + 4 ^ { 2 } + 26 ^ { 2 } - 4 + 3 a ^ { 2 } - 206$$

Baholash

$$3a^{2}+548$$

Yechim qadamlari

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$66+16+26^{2}-4+3a^{2}-206$$

82 olish uchun 66 va 16'ni qo'shing.

$$82+26^{2}-4+3a^{2}-206$$

2 daraja ko‘rsatkichini 26 ga hisoblang va 676 ni qiymatni oling.

$$82+676-4+3a^{2}-206$$

758 olish uchun 82 va 676'ni qo'shing.

$$758-4+3a^{2}-206$$

754 olish uchun 758 dan 4 ni ayirish.

$$754+3a^{2}-206$$

548 olish uchun 754 dan 206 ni ayirish.

$$548+3a^{2}$$

a ga nisbatan hosilani topish

$$6a$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(66+16+26^{2}-4+3a^{2}-206)$$

82 olish uchun 66 va 16'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}a}(82+26^{2}-4+3a^{2}-206)$$

2 daraja ko‘rsatkichini 26 ga hisoblang va 676 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(82+676-4+3a^{2}-206)$$

758 olish uchun 82 va 676'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}a}(758-4+3a^{2}-206)$$

754 olish uchun 758 dan 4 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(754+3a^{2}-206)$$

548 olish uchun 754 dan 206 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(548+3a^{2})$$

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

$$2\times 3a^{2-1}$$

2 ni 3 marotabaga ko'paytirish.

$$6a^{2-1}$$

2 dan 1 ni ayirish.

$$6a^{1}$$

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

$$6a$$