2/7x*14x^2= eching

$$\frac { 2 } { 7 } x \cdot 14 x ^ { 2 } =$$

Baholash

$$4x^{3}$$

Yechim qadamlari

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

$$\frac{2}{7}x^{3}\times 14$$

4 hosil qilish uchun \frac{2}{7} va 14 ni ko'paytirish.

$$4x^{3}$$

x ga nisbatan hosilani topish

$$12x^{2}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{7}x^{3}\times 14)$$

4 hosil qilish uchun \frac{2}{7} va 14 ni ko'paytirish.

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

ax^{n} hosilasi – nax^{n-1}.

$$3\times 4x^{3-1}$$

3 ni 4 marotabaga ko'paytirish.

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

3 dan 1 ni ayirish.

$$12x^{2}$$