2b^5quad5quad17b^6 eching

$$2 b ^ { 5 } \quad 5 \quad 17 b ^ { 6 }$$

Baholash

$$170b^{11}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 6 ni qo‘shib, 11 ni oling.

$$2b^{11}\times 5\times 17$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$10b^{11}\times 17$$

170 hosil qilish uchun 10 va 17 ni ko'paytirish.

$$170b^{11}$$

b ga nisbatan hosilani topish

$$1870b^{10}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 6 ni qo‘shib, 11 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(2b^{11}\times 5\times 17)$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(10b^{11}\times 17)$$

170 hosil qilish uchun 10 va 17 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(170b^{11})$$

ax^{n} hosilasi – nax^{n-1}.

$$11\times 170b^{11-1}$$

11 ni 170 marotabaga ko'paytirish.

$$1870b^{11-1}$$

11 dan 1 ni ayirish.

$$1870b^{10}$$