(a^4)^7*(a^2)^11quad6114 eching

$$( a ^ { 4 } ) ^ { 7 } \cdot ( a ^ { 2 } ) ^ { 11 } \quad 6114$$

Baholash

$$6114a^{50}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 7 ni ko‘paytirib, 28 ni oling.

$$a^{28}\left(a^{2}\right)^{11}\times 6114$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 11 ni ko‘paytirib, 22 ni oling.

$$a^{28}a^{22}\times 6114$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 28 va 22 ni qo‘shib, 50 ni oling.

$$a^{50}\times 6114$$

a ga nisbatan hosilani topish

$$305700a^{49}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 7 ni ko‘paytirib, 28 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{28}\left(a^{2}\right)^{11}\times 6114)$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 11 ni ko‘paytirib, 22 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{28}a^{22}\times 6114)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 28 va 22 ni qo‘shib, 50 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{50}\times 6114)$$

ax^{n} hosilasi – nax^{n-1}.

$$50\times 6114a^{50-1}$$

50 ni 6114 marotabaga ko'paytirish.

$$305700a^{50-1}$$

50 dan 1 ni ayirish.

$$305700a^{49}$$