2x^2*2x^3= eching

$$2 x ^ { 2 } \times 2 x ^ { 3 } =$$

Baholash

$$4x^{5}$$

Yechim qadamlari

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

$$2x^{5}\times 2$$

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

$$4x^{5}$$

x ga nisbatan hosilani topish

$$20x^{4}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{5}\times 2)$$

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

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

ax^{n} hosilasi – nax^{n-1}.

$$5\times 4x^{5-1}$$

5 ni 4 marotabaga ko'paytirish.

$$20x^{5-1}$$

5 dan 1 ni ayirish.

$$20x^{4}$$