3p^2*4p^5 eching

$$3 p ^ { 2 } \times 4 p ^ { 5 }$$

Baholash

$$12p^{7}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$3p^{7}\times 4$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$12p^{7}$$

p ga nisbatan hosilani topish

$$84p^{6}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}p}(3p^{7}\times 4)$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}p}(12p^{7})$$

ax^{n} hosilasi – nax^{n-1}.

$$7\times 12p^{7-1}$$

7 ni 12 marotabaga ko'paytirish.

$$84p^{7-1}$$

7 dan 1 ni ayirish.

$$84p^{6}$$