4x^2*6x^3= eching

$$4 x ^ { 2 } \cdot 6 x ^ { 3 } =$$

Baholash

$$24x^{5}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$4x^{5}\times 6$$

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

$$24x^{5}$$

x ga nisbatan hosilani topish

$$120x^{4}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{5}\times 6)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(24x^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\times 24x^{5-1}$$

5 ni 24 marotabaga ko'paytirish.

$$120x^{5-1}$$

5 dan 1 ni ayirish.

$$120x^{4}$$