2b^5*3b^2*b eching

$$2 b ^ { 5 } \times 3 b ^ { 2 } \times b$$

Baholash

$$6b^{8}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 2 ni qo‘shib, 7 ni oling.

$$2b^{7}\times 3b$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 7 va 1 ni qo‘shib, 8 ni oling.

$$2b^{8}\times 3$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$6b^{8}$$

b ga nisbatan hosilani topish

$$48b^{7}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 2 ni qo‘shib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(2b^{7}\times 3b)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 7 va 1 ni qo‘shib, 8 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(2b^{8}\times 3)$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(6b^{8})$$

ax^{n} hosilasi – nax^{n-1}.

$$8\times 6b^{8-1}$$

8 ni 6 marotabaga ko'paytirish.

$$48b^{8-1}$$

8 dan 1 ni ayirish.

$$48b^{7}$$