x*x^2*3x eching

$$x \cdot x^2 \cdot 3x$$

Baholash

$$3x^{4}$$

Yechim qadamlari

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

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 1 ni qo‘shib, 4 ni oling.

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

x ga nisbatan hosilani topish

$$12x^{3}$$

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.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 1 ni qo‘shib, 4 ni oling.

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

ax^{n} hosilasi – nax^{n-1}.

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

4 ni 3 marotabaga ko'paytirish.

$$12x^{4-1}$$

4 dan 1 ni ayirish.

$$12x^{3}$$