(4x)(-3x^8)(-7x^3) eching

$$( 4 x ) ( - 3 x ^ { 8 } ) ( - 7 x ^ { 3 } )$$

Baholash

$$84x^{12}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 8 ni qo‘shib, 9 ni oling.

$$4x^{9}\left(-3\right)\left(-7\right)x^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 3 ni qo‘shib, 12 ni oling.

$$4x^{12}\left(-3\right)\left(-7\right)$$

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

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

84 hosil qilish uchun -12 va -7 ni ko'paytirish.

$$84x^{12}$$

x ga nisbatan hosilani topish

$$1008x^{11}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 8 ni qo‘shib, 9 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{9}\left(-3\right)\left(-7\right)x^{3})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 3 ni qo‘shib, 12 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{12}\left(-3\right)\left(-7\right))$$

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

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

84 hosil qilish uchun -12 va -7 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(84x^{12})$$

ax^{n} hosilasi – nax^{n-1}.

$$12\times 84x^{12-1}$$

12 ni 84 marotabaga ko'paytirish.

$$1008x^{12-1}$$

12 dan 1 ni ayirish.

$$1008x^{11}$$