4n*n*3n eching

$$4 n \cdot n \cdot 3 n$$

Baholash

$$12n^{3}$$

Yechim qadamlari

n^{2} hosil qilish uchun n va n ni ko'paytirish.

$$4n^{2}\times 3n$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$4n^{3}\times 3$$

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$12n^{3}$$

n ga nisbatan hosilani topish

$$36n^{2}$$

Derivativ ifodasidan foydalanish qadamlari

n^{2} hosil qilish uchun n va n ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}n}(4n^{2}\times 3n)$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}n}(4n^{3}\times 3)$$

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}n}(12n^{3})$$

ax^{n} hosilasi – nax^{n-1}.

$$3\times 12n^{3-1}$$

3 ni 12 marotabaga ko'paytirish.

$$36n^{3-1}$$

3 dan 1 ni ayirish.

$$36n^{2}$$