n^4*2n^2*n^5 eching

$$n^4 \cdot 2n^2 \cdot n^5$$

Baholash

$$2n^{11}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.

$$n^{6}\times 2n^{5}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 5 ni qo‘shib, 11 ni oling.

$$n^{11}\times 2$$

n ga nisbatan hosilani topish

$$22n^{10}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}n}(n^{6}\times 2n^{5})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 5 ni qo‘shib, 11 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}n}(n^{11}\times 2)$$

ax^{n} hosilasi – nax^{n-1}.

$$11\times 2n^{11-1}$$

11 ni 2 marotabaga ko'paytirish.

$$22n^{11-1}$$

11 dan 1 ni ayirish.

$$22n^{10}$$