(2x)(5x^3) eching

$$( 2 x ) ( 5 x ^ { 3 } )$$

Baholash

$$10x^{4}$$

Yechim qadamlari

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

$$2x^{4}\times 5$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$10x^{4}$$

x ga nisbatan hosilani topish

$$40x^{3}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{4}\times 5)$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x^{4})$$

ax^{n} hosilasi – nax^{n-1}.

$$4\times 10x^{4-1}$$

4 ni 10 marotabaga ko'paytirish.

$$40x^{4-1}$$

4 dan 1 ni ayirish.

$$40x^{3}$$