(2x^9)(3x^6) eching

$$( 2 x ^ { 9 } ) ( 3 x ^ { 6 } )$$

Baholash

$$6x^{15}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 6 ni qo‘shib, 15 ni oling.

$$2x^{15}\times 3$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$6x^{15}$$

x ga nisbatan hosilani topish

$$90x^{14}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 6 ni qo‘shib, 15 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{15}\times 3)$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{15})$$

ax^{n} hosilasi – nax^{n-1}.

$$15\times 6x^{15-1}$$

15 ni 6 marotabaga ko'paytirish.

$$90x^{15-1}$$

15 dan 1 ni ayirish.

$$90x^{14}$$