(-4x)(-6x^-4) eching

$$(-4x)(-6 { x }^{ -4 } )$$

Baholash

$$\frac{24}{x^{3}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -4 ni qo‘shib, -3 ni oling.

$$-4x^{-3}\left(-6\right)$$

24 hosil qilish uchun -4 va -6 ni ko'paytirish.

$$24x^{-3}$$

x ga nisbatan hosilani topish

$$-\frac{72}{x^{4}}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -4 ni qo‘shib, -3 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{-3}\left(-6\right))$$

24 hosil qilish uchun -4 va -6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(24x^{-3})$$

ax^{n} hosilasi – nax^{n-1}.

$$-3\times 24x^{-3-1}$$

-3 ni 24 marotabaga ko'paytirish.

$$-72x^{-3-1}$$

-3 dan 1 ni ayirish.

$$-72x^{-4}$$