5x^4*9x^6 eching

$$5 { x }^{ 4 } \times 9 { x }^{ 6 }$$

Baholash

$$45x^{10}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 6 ni qo‘shib, 10 ni oling.

$$5x^{10}\times 9$$

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

$$45x^{10}$$

x ga nisbatan hosilani topish

$$450x^{9}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 6 ni qo‘shib, 10 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{10}\times 9)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(45x^{10})$$

ax^{n} hosilasi – nax^{n-1}.

$$10\times 45x^{10-1}$$

10 ni 45 marotabaga ko'paytirish.

$$450x^{10-1}$$

10 dan 1 ni ayirish.

$$450x^{9}$$