2x*2x*3x eching

$$2 x \times 2 x \times 3 x$$

Baholash

$$12x^{3}$$

Yechim qadamlari

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

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

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

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

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

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

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

$$12x^{3}$$

x ga nisbatan hosilani topish

$$36x^{2}$$

Derivativ ifodasidan foydalanish qadamlari

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

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

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

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

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

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

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

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

ax^{n} hosilasi – nax^{n-1}.

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

3 ni 12 marotabaga ko'paytirish.

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

3 dan 1 ni ayirish.

$$36x^{2}$$