5x*(-10x^2) eching

$$5 x \cdot ( - 10 x ^ { 2 } )$$

Baholash

$$-50x^{3}$$

Yechim qadamlari

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

$$5x^{3}\left(-10\right)$$

-50 hosil qilish uchun 5 va -10 ni ko'paytirish.

$$-50x^{3}$$

x ga nisbatan hosilani topish

$$-150x^{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}\left(-10\right))$$

-50 hosil qilish uchun 5 va -10 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-50x^{3})$$

ax^{n} hosilasi – nax^{n-1}.

$$3\left(-50\right)x^{3-1}$$

3 ni -50 marotabaga ko'paytirish.

$$-150x^{3-1}$$

3 dan 1 ni ayirish.

$$-150x^{2}$$