x*x*3x eching

$$x \cdot x \cdot 3 x$$

Baholash

$$3x^{3}$$

Yechim qadamlari

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

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

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

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

x ga nisbatan hosilani topish

$$9x^{2}$$

Derivativ ifodasidan foydalanish qadamlari

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

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

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

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

ax^{n} hosilasi – nax^{n-1}.

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

3 ni 3 marotabaga ko'paytirish.

$$9x^{3-1}$$

3 dan 1 ni ayirish.

$$9x^{2}$$