m^5*3m^3*2m^4= eching

$$m ^ { 5 } \times 3 m ^ { 3 } \times 2 m ^ { 4 } =$$

Baholash

$$6m^{12}$$

Yechim qadamlari

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

$$m^{8}\times 3\times 2m^{4}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 4 ni qo‘shib, 12 ni oling.

$$m^{12}\times 3\times 2$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$m^{12}\times 6$$

m ga nisbatan hosilani topish

$$72m^{11}$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(m^{8}\times 3\times 2m^{4})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 4 ni qo‘shib, 12 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}m}(m^{12}\times 3\times 2)$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}m}(m^{12}\times 6)$$

ax^{n} hosilasi – nax^{n-1}.

$$12\times 6m^{12-1}$$

12 ni 6 marotabaga ko'paytirish.

$$72m^{12-1}$$

12 dan 1 ni ayirish.

$$72m^{11}$$