2*6*6*6-3*x*6^2+4*6-5= eching

$$2 \times 6 \times 6 \times 6-3 \times x \times { 6 }^{ 2 } +4 \times 6-5=$$

Baholash

$$451-108x$$

Yechim qadamlari

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$12\times 6\times 6-3x\times 6^{2}+4\times 6-5$$

72 hosil qilish uchun 12 va 6 ni ko'paytirish.

$$72\times 6-3x\times 6^{2}+4\times 6-5$$

432 hosil qilish uchun 72 va 6 ni ko'paytirish.

$$432-3x\times 6^{2}+4\times 6-5$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$432-3x\times 36+4\times 6-5$$

108 hosil qilish uchun 3 va 36 ni ko'paytirish.

$$432-108x+4\times 6-5$$

24 hosil qilish uchun 4 va 6 ni ko'paytirish.

$$432-108x+24-5$$

456 olish uchun 432 va 24'ni qo'shing.

$$456-108x-5$$

451 olish uchun 456 dan 5 ni ayirish.

$$451-108x$$

x ga nisbatan hosilani topish

$$-108$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12\times 6\times 6-3x\times 6^{2}+4\times 6-5)$$

72 hosil qilish uchun 12 va 6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(72\times 6-3x\times 6^{2}+4\times 6-5)$$

432 hosil qilish uchun 72 va 6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(432-3x\times 6^{2}+4\times 6-5)$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(432-3x\times 36+4\times 6-5)$$

108 hosil qilish uchun 3 va 36 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(432-108x+4\times 6-5)$$

24 hosil qilish uchun 4 va 6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(432-108x+24-5)$$

456 olish uchun 432 va 24'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(456-108x-5)$$

451 olish uchun 456 dan 5 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(451-108x)$$

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

$$-108x^{1-1}$$

1 dan 1 ni ayirish.

$$-108x^{0}$$

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

$$-108$$