3x*5x^3 eching

$$3 x \cdot 5 x ^ { 3 }$$

Baholash

$$15x^{4}$$

Yechim qadamlari

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

$$3x^{4}\times 5$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$15x^{4}$$

x ga nisbatan hosilani topish

$$60x^{3}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{4}\times 5)$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(15x^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times 15x^{4-1}$$

4 ni 15 marotabaga ko'paytirish.

$$60x^{4-1}$$

4 dan 1 ni ayirish.

$$60x^{3}$$