2x*4x^3= eching

$$2 x \cdot 4 x ^ { 3 } =$$

Baholash

$$8x^{4}$$

Yechim qadamlari

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

$$2x^{4}\times 4$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$8x^{4}$$

x ga nisbatan hosilani topish

$$32x^{3}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{4}\times 4)$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times 8x^{4-1}$$

4 ni 8 marotabaga ko'paytirish.

$$32x^{4-1}$$

4 dan 1 ni ayirish.

$$32x^{3}$$