4x*3x*12x^2 eching

$$4x \times 3x \times 12 { x }^{ 2 }$$

Baholash

$$144x^{4}$$

Yechim qadamlari

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

$$4x^{2}\times 3\times 12x^{2}$$

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

$$4x^{4}\times 3\times 12$$

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

$$12x^{4}\times 12$$

144 hosil qilish uchun 12 va 12 ni ko'paytirish.

$$144x^{4}$$

x ga nisbatan hosilani topish

$$576x^{3}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}\times 3\times 12x^{2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4}\times 3\times 12)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{4}\times 12)$$

144 hosil qilish uchun 12 va 12 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(144x^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times 144x^{4-1}$$

4 ni 144 marotabaga ko'paytirish.

$$576x^{4-1}$$

4 dan 1 ni ayirish.

$$576x^{3}$$