2x^20*3x^30 eching

$$2 x ^ { 20 } \cdot 3 x ^ { 30 }$$

Baholash

$$6x^{50}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 20 va 30 ni qo‘shib, 50 ni oling.

$$2x^{50}\times 3$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$6x^{50}$$

x ga nisbatan hosilani topish

$$300x^{49}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 20 va 30 ni qo‘shib, 50 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{50}\times 3)$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{50})$$

ax^{n} hosilasi – nax^{n-1}.

$$50\times 6x^{50-1}$$

50 ni 6 marotabaga ko'paytirish.

$$300x^{50-1}$$

50 dan 1 ni ayirish.

$$300x^{49}$$