5p^3*3p^5= eching

$$5 p ^ { 3 } \cdot 3 p ^ { 5 } =$$

Baholash

$$15p^{8}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 5 ni qo‘shib, 8 ni oling.

$$5p^{8}\times 3$$

15 hosil qilish uchun 5 va 3 ni ko'paytirish.

$$15p^{8}$$

p ga nisbatan hosilani topish

$$120p^{7}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 5 ni qo‘shib, 8 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}p}(5p^{8}\times 3)$$

15 hosil qilish uchun 5 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}p}(15p^{8})$$

ax^{n} hosilasi – nax^{n-1}.

$$8\times 15p^{8-1}$$

8 ni 15 marotabaga ko'paytirish.

$$120p^{8-1}$$

8 dan 1 ni ayirish.

$$120p^{7}$$