2x^frac{3{5}}*9x^2 eching

$$2 x ^ { \frac { 3 } { 5 } } \cdot 9 x ^ { 2 }$$

Baholash

$$18x^{\frac{13}{5}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. \frac{3}{5} va 2 ni qo‘shib, \frac{13}{5} ni oling.

$$2x^{\frac{13}{5}}\times 9$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$18x^{\frac{13}{5}}$$

x ga nisbatan hosilani topish

$$\frac{234x^{\frac{8}{5}}}{5}$$

Derivativ ifodasidan foydalanish qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. \frac{3}{5} va 2 ni qo‘shib, \frac{13}{5} ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{\frac{13}{5}}\times 9)$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(18x^{\frac{13}{5}})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{13}{5}\times 18x^{\frac{13}{5}-1}$$

\frac{13}{5} ni 18 marotabaga ko'paytirish.

$$\frac{234}{5}x^{\frac{13}{5}-1}$$

\frac{13}{5} dan 1 ni ayirish.

$$\frac{234}{5}x^{\frac{8}{5}}$$