4^2*d^2*(4*d^4)= eching

$$4 ^ { 2 } \cdot d ^ { 2 } \cdot ( 4 \cdot d ^ { 4 } ) =$$

Baholash

$$64d^{6}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$4^{3}d^{2}d^{4}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 4 ni qo‘shib, 6 ni oling.

$$4^{3}d^{6}$$

3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.

$$64d^{6}$$

d ga nisbatan hosilani topish

$$384d^{5}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 4 ni qo‘shib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}d}(4^{3}d^{6})$$

3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}d}(64d^{6})$$

ax^{n} hosilasi – nax^{n-1}.

$$6\times 64d^{6-1}$$

6 ni 64 marotabaga ko'paytirish.

$$384d^{6-1}$$

6 dan 1 ni ayirish.

$$384d^{5}$$