v^frac{7{3}}*v^frac{5{3}}*v^-frac{1{3}} eching

$$v ^ { \frac { 7 } { 3 } } \cdot v ^ { \frac { 5 } { 3 } } \cdot v ^ { - \frac { 1 } { 3 } }$$

Baholash

$$v^{\frac{11}{3}}$$

Tartib xususiyati koʻpaytmasidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$v^{\frac{7}{3}}v^{\frac{5}{3}}v^{-\frac{1}{3}}$$

Eksponentlar uchun ko'paytirish qoidasidan foydalanish.

$$v^{\frac{7+5-1}{3}}$$

\frac{7}{3} va \frac{5}{3} belgilarini qo'shish.

$$v^{4-\frac{1}{3}}$$

4 va -\frac{1}{3} belgilarini qo'shish.

$$v^{\frac{11}{3}}$$

v ga nisbatan hosilani topish

$$\frac{11v^{\frac{8}{3}}}{3}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. \frac{7}{3} va \frac{5}{3} ni qo‘shib, 4 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}v}(v^{4}v^{-\frac{1}{3}})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va -\frac{1}{3} ni qo‘shib, \frac{11}{3} ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}v}(v^{\frac{11}{3}})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{11}{3}v^{\frac{11}{3}-1}$$

\frac{11}{3} dan 1 ni ayirish.

$$\frac{11}{3}v^{\frac{8}{3}}$$