7x^4*5x^5= eching

$$7 x ^ { 4 } \cdot 5 x ^ { 5 } =$$

Baholash

$$35x^{9}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 5 ni qo‘shib, 9 ni oling.

$$7x^{9}\times 5$$

35 hosil qilish uchun 7 va 5 ni ko'paytirish.

$$35x^{9}$$

x ga nisbatan hosilani topish

$$315x^{8}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 5 ni qo‘shib, 9 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{9}\times 5)$$

35 hosil qilish uchun 7 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(35x^{9})$$

ax^{n} hosilasi – nax^{n-1}.

$$9\times 35x^{9-1}$$

9 ni 35 marotabaga ko'paytirish.

$$315x^{9-1}$$

9 dan 1 ni ayirish.

$$315x^{8}$$