2b^3*(b^4)^2= eching

$$2 b ^ { 3 } \cdot ( b ^ { 4 } ) ^ { 2 } =$$

Baholash

$$2b^{11}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 8 ni qo‘shib, 11 ni oling.

$$2b^{11}$$

b ga nisbatan hosilani topish

$$22b^{10}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 8 ni qo‘shib, 11 ni oling.

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

ax^{n} hosilasi – nax^{n-1}.

$$11\times 2b^{11-1}$$

11 ni 2 marotabaga ko'paytirish.

$$22b^{11-1}$$

11 dan 1 ni ayirish.

$$22b^{10}$$