b^5*(b^3)^3 eching

$$b ^ { 5 } \times ( b ^ { 3 } ) ^ { 3 }$$

Baholash

$$b^{14}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$b^{5}b^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 9 ni qo‘shib, 14 ni oling.

$$b^{14}$$

b ga nisbatan hosilani topish

$$14b^{13}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b^{5}b^{9})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 9 ni qo‘shib, 14 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b^{14})$$

ax^{n} hosilasi – nax^{n-1}.

$$14b^{14-1}$$

14 dan 1 ni ayirish.

$$14b^{13}$$