(5x^9)(9x^4) eching

$$( 5 x ^ { 9 } ) ( 9 x ^ { 4 } )$$

Baholash

$$45x^{13}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 4 ni qo‘shib, 13 ni oling.

$$5x^{13}\times 9$$

45 hosil qilish uchun 5 va 9 ni ko'paytirish.

$$45x^{13}$$

x ga nisbatan hosilani topish

$$585x^{12}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 4 ni qo‘shib, 13 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{13}\times 9)$$

45 hosil qilish uchun 5 va 9 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(45x^{13})$$

ax^{n} hosilasi – nax^{n-1}.

$$13\times 45x^{13-1}$$

13 ni 45 marotabaga ko'paytirish.

$$585x^{13-1}$$

13 dan 1 ni ayirish.

$$585x^{12}$$