x*4x*6x= eching

$$x \times 4x \times 6x=$$

Baholash

$$24x^{3}$$

Yechim qadamlari

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

$$x^{2}\times 4\times 6x$$

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

$$x^{3}\times 4\times 6$$

24 hosil qilish uchun 4 va 6 ni ko'paytirish.

$$x^{3}\times 24$$

x ga nisbatan hosilani topish

$$72x^{2}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times 4\times 6x)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times 4\times 6)$$

24 hosil qilish uchun 4 va 6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times 24)$$

ax^{n} hosilasi – nax^{n-1}.

$$3\times 24x^{3-1}$$

3 ni 24 marotabaga ko'paytirish.

$$72x^{3-1}$$

3 dan 1 ni ayirish.

$$72x^{2}$$