(4a^2)(-3a)(-5a^4) eching

$$( 4 a ^ { 2 } ) ( - 3 a ) ( - 5 a ^ { 4 } )$$

Baholash

$$60a^{7}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$4a^{3}\left(-3\right)\left(-5\right)a^{4}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$4a^{7}\left(-3\right)\left(-5\right)$$

-12 hosil qilish uchun 4 va -3 ni ko'paytirish.

$$-12a^{7}\left(-5\right)$$

60 hosil qilish uchun -12 va -5 ni ko'paytirish.

$$60a^{7}$$

a ga nisbatan hosilani topish

$$420a^{6}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(4a^{3}\left(-3\right)\left(-5\right)a^{4})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(4a^{7}\left(-3\right)\left(-5\right))$$

-12 hosil qilish uchun 4 va -3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-12a^{7}\left(-5\right))$$

60 hosil qilish uchun -12 va -5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(60a^{7})$$

ax^{n} hosilasi – nax^{n-1}.

$$7\times 60a^{7-1}$$

7 ni 60 marotabaga ko'paytirish.

$$420a^{7-1}$$

7 dan 1 ni ayirish.

$$420a^{6}$$