(11x^3)(2x^4) eching

$$( 11 x ^ { 3 } ) ( 2 x ^ { 4 } )$$

Baholash

$$22x^{7}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$11x^{7}\times 2$$

22 hosil qilish uchun 11 va 2 ni ko'paytirish.

$$22x^{7}$$

x ga nisbatan hosilani topish

$$154x^{6}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x^{7}\times 2)$$

22 hosil qilish uchun 11 va 2 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(22x^{7})$$

ax^{n} hosilasi – nax^{n-1}.

$$7\times 22x^{7-1}$$

7 ni 22 marotabaga ko'paytirish.

$$154x^{7-1}$$

7 dan 1 ni ayirish.

$$154x^{6}$$