3a^frac{2{3}}*2a^frac{1{3}} eching

$$3 a ^ { \frac { 2 } { 3 } } \times 2 a ^ { \frac { 1 } { 3 } }$$

Baholash

$$6a$$

Yechim qadamlari

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

$$3a^{1}\times 2$$

1 daraja ko‘rsatkichini a ga hisoblang va a ni qiymatni oling.

$$3a\times 2$$

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

$$6a$$

a ga nisbatan hosilani topish

$$6$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(3a^{1}\times 2)$$

1 daraja ko‘rsatkichini a ga hisoblang va a ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(3a\times 2)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a)$$

ax^{n} hosilasi – nax^{n-1}.

$$6a^{1-1}$$

1 dan 1 ni ayirish.

$$6a^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$6\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$6$$