5n^3*4n^4= eching

$$5 n ^ { 3 } \cdot 4 n ^ { 4 } =$$

Baholash

$$20n^{7}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$5n^{7}\times 4$$

20 hosil qilish uchun 5 va 4 ni ko'paytirish.

$$20n^{7}$$

n ga nisbatan hosilani topish

$$140n^{6}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}n}(5n^{7}\times 4)$$

20 hosil qilish uchun 5 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}n}(20n^{7})$$

ax^{n} hosilasi – nax^{n-1}.

$$7\times 20n^{7-1}$$

7 ni 20 marotabaga ko'paytirish.

$$140n^{7-1}$$

7 dan 1 ni ayirish.

$$140n^{6}$$