9p^31116p^2 eching

$$9 p ^ { 3 } 1116 p ^ { 2 }$$

Baholash

$$10044p^{5}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 2 ni qo‘shib, 5 ni oling.

$$9p^{5}\times 1116$$

10044 hosil qilish uchun 9 va 1116 ni ko'paytirish.

$$10044p^{5}$$

p ga nisbatan hosilani topish

$$50220p^{4}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 2 ni qo‘shib, 5 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}p}(9p^{5}\times 1116)$$

10044 hosil qilish uchun 9 va 1116 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}p}(10044p^{5})$$

ax^{n} hosilasi – nax^{n-1}.

$$5\times 10044p^{5-1}$$

5 ni 10044 marotabaga ko'paytirish.

$$50220p^{5-1}$$

5 dan 1 ni ayirish.

$$50220p^{4}$$