7x*(-8x^2)= eching

$$7 x \cdot ( - 8 x ^ { 2 } ) =$$

Baholash

$$-56x^{3}$$

Yechim qadamlari

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

$$7x^{3}\left(-8\right)$$

-56 hosil qilish uchun 7 va -8 ni ko'paytirish.

$$-56x^{3}$$

x ga nisbatan hosilani topish

$$-168x^{2}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{3}\left(-8\right))$$

-56 hosil qilish uchun 7 va -8 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-56x^{3})$$

ax^{n} hosilasi – nax^{n-1}.

$$3\left(-56\right)x^{3-1}$$

3 ni -56 marotabaga ko'paytirish.

$$-168x^{3-1}$$

3 dan 1 ni ayirish.

$$-168x^{2}$$